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74054304 = 253385711
BaseRepresentation
bin1000110100111…
…11101010100000
312011100100102000
410122133222200
5122424214204
611203124000
71556310522
oct432375240
9164310360
1074054304
1138890105
1220973600
131245b01c
149b99a12
15677c039
hex469faa0

74054304 has 48 divisors (see below), whose sum is σ = 215994240. Its totient is φ = 24684480.

The previous prime is 74054297. The next prime is 74054327. The reversal of 74054304 is 40345047.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 41992 + ... + 43719.

It is an arithmetic number, because the mean of its divisors is an integer number (4499880).

Almost surely, 274054304 is an apocalyptic number.

It is an amenable number.

74054304 is an abundant number, since it is smaller than the sum of its proper divisors (141939936).

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

74054304 is a wasteful number, since it uses less digits than its factorization.

74054304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85730 (or 85716 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 74054304 is about 8605.4810440788. The cubic root of 74054304 is about 419.9363168751.

The spelling of 74054304 in words is "seventy-four million, fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 85711 171422 257133 342844 514266 685688 771399 1028532 1371376 1542798 2057064 2314197 2742752 3085596 4114128 4628394 6171192 8228256 9256788 12342384 18513576 24684768 37027152 74054304