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153349704 = 233212291733
BaseRepresentation
bin10010010001111…
…10111001001000
3101200112222020200
421020332321020
5303224142304
623114452200
73541310454
oct1110767110
9350488220
10153349704
117961a9a2
1243434060
1325a02791
141651b664
15d6e1e39
hex923ee48

153349704 has 48 divisors (see below), whose sum is σ = 415899900. Its totient is φ = 51045504.

The previous prime is 153349699. The next prime is 153349733. The reversal of 153349704 is 407943351.

It can be written as a sum of positive squares in 2 ways, for example, as 139287204 + 14062500 = 11802^2 + 3750^2 .

It is a super-2 number, since 2×1533497042 = 47032263433775232, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 87622 + ... + 89354.

Almost surely, 2153349704 is an apocalyptic number.

It is an amenable number.

153349704 is an abundant number, since it is smaller than the sum of its proper divisors (262550196).

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

153349704 is a wasteful number, since it uses less digits than its factorization.

153349704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 153349704 is about 12383.4447549945. Note that the first 3 decimals coincide. The cubic root of 153349704 is about 535.2553054044.

The spelling of 153349704 in words is "one hundred fifty-three million, three hundred forty-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1229 1733 2458 3466 3687 4916 5199 6932 7374 9832 10398 11061 13864 14748 15597 20796 22122 29496 31194 41592 44244 62388 88488 124776 2129857 4259714 6389571 8519428 12779142 17038856 19168713 25558284 38337426 51116568 76674852 153349704