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74340864 = 2932131773
BaseRepresentation
bin1000110111001…
…01101000000000
312011212220111100
410123211220000
5123012401424
611213214400
71561613133
oct433455000
9164786440
1074340864
1138a66434
1220a91400
131252b5a0
149c3221a
1567d6dc9
hex46e5a00

74340864 has 240 divisors, whose sum is σ = 247999752. Its totient is φ = 21233664.

The previous prime is 74340857. The next prime is 74340919. The reversal of 74340864 is 46804347.

It can be written as a sum of positive squares in 4 ways, for example, as 62726400 + 11614464 = 7920^2 + 3408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018332 + ... + 1018404.

Almost surely, 274340864 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 74340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123999876).

74340864 is an abundant number, since it is smaller than the sum of its proper divisors (173658888).

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

74340864 is a wasteful number, since it uses less digits than its factorization.

74340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 74340864 is about 8622.1148217824. The cubic root of 74340864 is about 420.4772805507.

The spelling of 74340864 in words is "seventy-four million, three hundred forty thousand, eight hundred sixty-four".