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74082304 = 21161593
BaseRepresentation
bin1000110101001…
…10100000000000
312011101202211001
410122212200000
5122431113204
611203501344
71556455252
oct432464000
9164352731
1074082304
11388aa14a
1220987854
131246a9aa
149ba5cd2
1567854a4
hex46a6800

74082304 has 48 divisors (see below), whose sum is σ = 150810660. Its totient is φ = 36372480.

The previous prime is 74082299. The next prime is 74082313. The reversal of 74082304 is 40328047.

It can be written as a sum of positive squares in 2 ways, for example, as 69755904 + 4326400 = 8352^2 + 2080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124632 + ... + 125224.

Almost surely, 274082304 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 74082304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75405330).

74082304 is an abundant number, since it is smaller than the sum of its proper divisors (76728356).

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

74082304 is an equidigital number, since it uses as much as digits as its factorization.

74082304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 74082304 is about 8607.1077604501. The cubic root of 74082304 is about 419.9892363077.

The spelling of 74082304 in words is "seventy-four million, eighty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 593 976 1024 1186 1952 2048 2372 3904 4744 7808 9488 15616 18976 31232 36173 37952 62464 72346 75904 124928 144692 151808 289384 303616 578768 607232 1157536 1214464 2315072 4630144 9260288 18520576 37041152 74082304