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1349075196 = 2233711811511
BaseRepresentation
bin101000001101001…
…0100000011111100
310111000112010021000
41100122110003330
510230330401241
6341511210300
745300643560
oct12032240374
93430463230
101349075196
11632577187
12317976990
1318665b461
14cb2576a0
157d685eb6
hex506940fc

1349075196 has 96 divisors (see below), whose sum is σ = 4003292160. Its totient is φ = 384868800.

The previous prime is 1349075191. The next prime is 1349075209. The reversal of 1349075196 is 6915709431.

1349075196 is a `hidden beast` number, since 1 + 3 + 490 + 75 + 1 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349075191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892081 + ... + 893591.

It is an arithmetic number, because the mean of its divisors is an integer number (41700960).

Almost surely, 21349075196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349075196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001646080).

1349075196 is an abundant number, since it is smaller than the sum of its proper divisors (2654216964).

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

1349075196 is a wasteful number, since it uses less digits than its factorization.

1349075196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1349075196 is about 36729.7589973035. The cubic root of 1349075196 is about 1104.9570210483.

The spelling of 1349075196 in words is "one billion, three hundred forty-nine million, seventy-five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1181 1511 2362 3022 3543 4533 4724 6044 7086 8267 9066 10577 10629 13599 14172 16534 18132 21154 21258 24801 27198 31731 31887 33068 40797 42308 42516 49602 54396 63462 63774 74403 81594 95193 99204 126924 127548 148806 163188 190386 223209 285579 297612 380772 446418 571158 892836 1142316 1784491 3568982 5353473 7137964 10706946 12491437 16060419 21413892 24982874 32120838 37474311 48181257 49965748 64241676 74948622 96362514 112422933 149897244 192725028 224845866 337268799 449691732 674537598 1349075196