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3404071656 = 233429317929
BaseRepresentation
bin1100101011100110…
…0000001011101000
322210020100202110000
43022321200023220
523432420243111
61321441023000
7150233063106
oct31271401350
98706322400
103404071656
111497567467
127b0024a60
134233201ab
1424414ac76
1514dcadc56
hexcae602e8

3404071656 has 80 divisors (see below), whose sum is σ = 9567627300. Its totient is φ = 1130754816.

The previous prime is 3404071607. The next prime is 3404071667. The reversal of 3404071656 is 6561704043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3103604100 + 300467556 = 55710^2 + 17334^2 .

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 3404071656.

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, 180900 + ... + 198828.

Almost surely, 23404071656 is an apocalyptic number.

3404071656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404071656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783813650).

3404071656 is an abundant number, since it is smaller than the sum of its proper divisors (6163555644).

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

3404071656 is a wasteful number, since it uses less digits than its factorization.

3404071656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18240 (or 18227 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3404071656 is about 58344.4226640388. The cubic root of 3404071656 is about 1504.2946045135.

Adding to 3404071656 its reverse (6561704043), we get a palindrome (9965775699).

The spelling of 3404071656 in words is "three billion, four hundred four million, seventy-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 293 324 586 648 879 1172 1758 2344 2637 3516 5274 7032 7911 10548 15822 17929 21096 23733 31644 35858 47466 53787 63288 71716 94932 107574 143432 161361 189864 215148 322722 430296 484083 645444 968166 1290888 1452249 1936332 2904498 3872664 5253197 5808996 10506394 11617992 15759591 21012788 31519182 42025576 47278773 63038364 94557546 126076728 141836319 189115092 283672638 378230184 425508957 567345276 851017914 1134690552 1702035828 3404071656