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350407904 = 25711142211
BaseRepresentation
bin10100111000101…
…100110011100000
3220102100120021112
4110320230303200
51204201023104
654434242452
711453263250
oct2470546340
9812316245
10350407904
1116a883710
1299426428
1357799a72
1434775960
1520b6986e
hex14e2cce0

350407904 has 48 divisors (see below), whose sum is σ = 860098176. Its totient is φ = 136521600.

The previous prime is 350407879. The next prime is 350407913. The reversal of 350407904 is 409704053.

350407904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 68642 + ... + 73569.

It is an arithmetic number, because the mean of its divisors is an integer number (17918712).

Almost surely, 2350407904 is an apocalyptic number.

It is an amenable number.

350407904 is an abundant number, since it is smaller than the sum of its proper divisors (509690272).

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

350407904 is a wasteful number, since it uses less digits than its factorization.

350407904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142239 (or 142231 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 350407904 is about 18719.1854523641. The cubic root of 350407904 is about 705.0035403809.

The spelling of 350407904 in words is "three hundred fifty million, four hundred seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 142211 284422 568844 995477 1137688 1564321 1990954 2275376 3128642 3981908 4550752 6257284 7963816 10950247 12514568 15927632 21900494 25029136 31855264 43800988 50058272 87601976 175203952 350407904