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74131304 = 2313898009
BaseRepresentation
bin1000110101100…
…10011101101000
312011111021000212
410122302131220
5122434200204
611204520252
71560051152
oct432623550
9164437025
1074131304
1138932a45
12209b0088
13124870a0
149bb9ad2
156794c6e
hex46b2768

74131304 has 32 divisors (see below), whose sum is σ = 151389000. Its totient is φ = 33825792.

The previous prime is 74131303. The next prime is 74131327. The reversal of 74131304 is 40313147.

It can be written as a sum of positive squares in 4 ways, for example, as 44863204 + 29268100 = 6698^2 + 5410^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 74131304.

It is not an unprimeable number, because it can be changed into a prime (74131301) by changing a digit.

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, 5252 + ... + 13260.

Almost surely, 274131304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74131304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75694500).

74131304 is an abundant number, since it is smaller than the sum of its proper divisors (77257696).

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

74131304 is a wasteful number, since it uses less digits than its factorization.

74131304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 74131304 is about 8609.9537745565. The cubic root of 74131304 is about 420.0818132384.

The spelling of 74131304 in words is "seventy-four million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 1157 2314 4628 8009 9256 16018 32036 64072 104117 208234 416468 712801 832936 1425602 2851204 5702408 9266413 18532826 37065652 74131304