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74080656 = 2434134397
BaseRepresentation
bin1000110101001…
…10000110010000
312011101200120000
410122212012100
5122431040111
611203450000
71556450406
oct432460620
9164350500
1074080656
11388a8991
1220986900
131246a010
149ba5476
156784c56
hex46a6190

74080656 has 100 divisors (see below), whose sum is σ = 230956572. Its totient is φ = 22788864.

The previous prime is 74080649. The next prime is 74080661. The reversal of 74080656 is 65608047.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22240656 + 51840000 = 4716^2 + 7200^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 74080656.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14650 + ... + 19046.

Almost surely, 274080656 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 74080656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115478286).

74080656 is an abundant number, since it is smaller than the sum of its proper divisors (156875916).

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

74080656 is a wasteful number, since it uses less digits than its factorization.

74080656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 74080656 is about 8607.0120250875. The cubic root of 74080656 is about 419.9861219904.

The spelling of 74080656 in words is "seventy-four million, eighty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 4397 5616 8424 8794 13191 16848 17588 26382 35176 39573 52764 57161 70352 79146 105528 114322 118719 158292 171483 211056 228644 237438 316584 342966 356157 457288 474876 514449 633168 685932 712314 914576 949752 1028898 1371864 1424628 1543347 1899504 2057796 2743728 2849256 3086694 4115592 4630041 5698512 6173388 8231184 9260082 12346776 18520164 24693552 37040328 74080656