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34104192 = 27388813
BaseRepresentation
bin1000001000011…
…0001110000000
32101011200011020
42002012032000
532212313232
63214545440
7562611063
oct202061600
971150136
1034104192
1118283a91
12b508280
1370b10c5
14475a8da
152ed9e2c
hex2086380

34104192 has 32 divisors (see below), whose sum is σ = 90590280. Its totient is φ = 11367936.

The previous prime is 34104181. The next prime is 34104223. The reversal of 34104192 is 29140143.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 44023 + ... + 44790.

Almost surely, 234104192 is an apocalyptic number.

34104192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34104192 is an abundant number, since it is smaller than the sum of its proper divisors (56486088).

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

34104192 is an equidigital number, since it uses as much as digits as its factorization.

34104192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88830 (or 88818 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 34104192 is about 5839.8794508106. The cubic root of 34104192 is about 324.2917658367.

The spelling of 34104192 in words is "thirty-four million, one hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 88813 177626 266439 355252 532878 710504 1065756 1421008 2131512 2842016 4263024 5684032 8526048 11368064 17052096 34104192