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1334730096 = 24337597481
BaseRepresentation
bin100111110001110…
…0101110101110000
310110000112022111000
41033203211311300
510213142330341
6340235522000
745035006250
oct11743456560
93400468430
101334730096
11625469527
12312bb9300
131836a7c2b
14c93a1960
157c2a08b6
hex4f8e5d70

1334730096 has 160 divisors (see below), whose sum is σ = 4453286400. Its totient is φ = 374837760.

The previous prime is 1334730071. The next prime is 1334730097. The reversal of 1334730096 is 6900374331.

1334730096 is a `hidden beast` number, since 1 + 3 + 347 + 300 + 9 + 6 = 666.

It is a super-3 number, since 3×13347300963 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1334730096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334730097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174676 + ... + 182156.

It is an arithmetic number, because the mean of its divisors is an integer number (27833040).

Almost surely, 21334730096 is an apocalyptic number.

1334730096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334730096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226643200).

1334730096 is an abundant number, since it is smaller than the sum of its proper divisors (3118556304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1334730096 is a wasteful number, since it uses less digits than its factorization.

1334730096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 1334730096 is about 36533.9581211782. The cubic root of 1334730096 is about 1101.0266162295.

The spelling of 1334730096 in words is "one billion, three hundred thirty-four million, seven hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 59 63 72 84 108 112 118 126 144 168 177 189 216 236 252 336 354 378 413 432 472 504 531 708 756 826 944 1008 1062 1239 1416 1512 1593 1652 2124 2478 2832 3024 3186 3304 3717 4248 4956 6372 6608 7434 7481 8496 9912 11151 12744 14868 14962 19824 22302 22443 25488 29736 29924 44604 44886 52367 59472 59848 67329 89208 89772 104734 119696 134658 157101 178416 179544 201987 209468 269316 314202 359088 403974 418936 441379 471303 538632 628404 807948 837872 882758 942606 1077264 1256808 1324137 1413909 1615896 1765516 1885212 2513616 2648274 2827818 3089653 3231792 3531032 3770424 3972411 5296548 5655636 6179306 7062064 7540848 7944822 9268959 10593096 11311272 11917233 12358612 15889644 18537918 21186192 22622544 23834466 24717224 27806877 31779288 37075836 47668932 49434448 55613754 63558576 74151672 83420631 95337864 111227508 148303344 166841262 190675728 222455016 333682524 444910032 667365048 1334730096