Search a number
-
+
74304256 = 281383269
BaseRepresentation
bin1000110110111…
…00101100000000
312011211001021111
410123130230000
5123010214011
611212333104
71561401325
oct433345400
9164731244
1074304256
1138a40984
1220a74194
1312517a20
149c22b4c
1567cb121
hex46dcb00

74304256 has 72 divisors (see below), whose sum is σ = 162252720. Its totient is φ = 33755136.

The previous prime is 74304247. The next prime is 74304277. The reversal of 74304256 is 65240347.

It is a super-2 number, since 2×743042562 = 11042244919427072, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276090 + ... + 276358.

It is an arithmetic number, because the mean of its divisors is an integer number (2253510).

Almost surely, 274304256 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 74304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81126360).

74304256 is an abundant number, since it is smaller than the sum of its proper divisors (87948464).

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

74304256 is a wasteful number, since it uses less digits than its factorization.

74304256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 74304256 is about 8619.9916473277. The cubic root of 74304256 is about 420.4082500570.

The spelling of 74304256 in words is "seventy-four million, three hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 128 166 208 256 269 332 416 538 664 832 1076 1079 1328 1664 2152 2158 2656 3328 3497 4304 4316 5312 6994 8608 8632 10624 13988 17216 17264 21248 22327 27976 34432 34528 44654 55952 68864 69056 89308 111904 138112 178616 223808 276224 290251 357232 447616 580502 714464 895232 1161004 1428928 2322008 2857856 4644016 5715712 9288032 18576064 37152128 74304256