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34800904 = 2317833083
BaseRepresentation
bin1000010011000…
…0010100001000
32102111001212101
42010300110020
532402112104
63241523144
7601542235
oct204602410
972431771
1034800904
111870a486
12b7a34b4
137296268
14489c78c
1530c65a4
hex2130508

34800904 has 32 divisors (see below), whose sum is σ = 69945120. Its totient is φ = 16174336.

The previous prime is 34800893. The next prime is 34800911. The reversal of 34800904 is 40900843.

It is a super-2 number, since 2×348009042 = 2422205838434432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9747 + ... + 12829.

It is an arithmetic number, because the mean of its divisors is an integer number (2185785).

Almost surely, 234800904 is an apocalyptic number.

34800904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34800904 is an abundant number, since it is smaller than the sum of its proper divisors (35144216).

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

34800904 is a wasteful number, since it uses less digits than its factorization.

34800904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 34800904 is about 5899.2291021794. The cubic root of 34800904 is about 326.4852071936.

The spelling of 34800904 in words is "thirty-four million, eight hundred thousand, nine hundred four".

Divisors: 1 2 4 8 17 34 68 83 136 166 332 664 1411 2822 3083 5644 6166 11288 12332 24664 52411 104822 209644 255889 419288 511778 1023556 2047112 4350113 8700226 17400452 34800904