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1334149380 = 223453532333
BaseRepresentation
bin100111110000101…
…1000000100000100
310102222102210220000
41033201120010010
510213020240010
6340215241300
745030040224
oct11741300404
93388383800
101334149380
116251021a3
12312979230
13183533805
14c9290084
157c1d87c0
hex4f858104

1334149380 has 120 divisors (see below), whose sum is σ = 4198931352. Its totient is φ = 354613248.

The previous prime is 1334149373. The next prime is 1334149381. The reversal of 1334149380 is 839414331.

1334149380 is a `hidden beast` number, since 133 + 4 + 149 + 380 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49787136 + 1284362244 = 7056^2 + 35838^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1334149381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570694 + ... + 573026.

Almost surely, 21334149380 is an apocalyptic number.

1334149380 is a gapful number since it is divisible by the number (10) 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 1334149380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099465676).

1334149380 is an abundant number, since it is smaller than the sum of its proper divisors (2864781972).

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

1334149380 is a wasteful number, since it uses less digits than its factorization.

1334149380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1334149380 is about 36526.0096369697. The cubic root of 1334149380 is about 1100.8669143980.

The spelling of 1334149380 in words is "one billion, three hundred thirty-four million, one hundred forty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 353 405 540 706 810 1059 1412 1620 1765 2118 2333 3177 3530 4236 4666 5295 6354 6999 7060 9332 9531 10590 11665 12708 13998 15885 19062 20997 21180 23330 27996 28593 31770 34995 38124 41994 46660 47655 57186 62991 63540 69990 83988 95310 104985 114372 125982 139980 142965 188973 190620 209970 251964 285930 314955 377946 419940 571860 629910 755892 823549 944865 1259820 1647098 1889730 2470647 3294196 3779460 4117745 4941294 7411941 8235490 9882588 12353235 14823882 16470980 22235823 24706470 29647764 37059705 44471646 49412940 66707469 74119410 88943292 111179115 133414938 148238820 222358230 266829876 333537345 444716460 667074690 1334149380