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3112970436 = 22321725472
BaseRepresentation
bin1011100110001100…
…0010100011000100
322000221121021122100
42321203002203010
522333410023221
61232521432100
7140066545362
oct27143024304
98027537570
103112970436
111358210844
1272a63b630
133a7c19954
14217612632
1513345b926
hexb98c28c4

3112970436 has 81 divisors (see below), whose sum is σ = 8374311309. Its totient is φ = 974832768.

The previous prime is 3112970381. The next prime is 3112970447. The reversal of 3112970436 is 6340792113.

The square root of 3112970436 is 55794.

It is a perfect power (a square), and thus also a powerful number.

3112970436 is a `hidden beast` number, since 31 + 129 + 70 + 436 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2423592900 + 689377536 = 49230^2 + 26256^2 .

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 3112970436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5690715 + ... + 5691261.

Almost surely, 23112970436 is an apocalyptic number.

3112970436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3112970436 is the 55794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112970436

3112970436 is an abundant number, since it is smaller than the sum of its proper divisors (5261340873).

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

3112970436 is a wasteful number, since it uses less digits than its factorization.

3112970436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The cubic root of 3112970436 is about 1460.1304749850.

Multiplying 3112970436 by its sum of digits (36), we get a square (112066935696 = 3347642).

3112970436 divided by its sum of digits (36) gives a square (86471401 = 92992).

The spelling of 3112970436 in words is "three billion, one hundred twelve million, nine hundred seventy thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 547 578 612 867 1094 1156 1641 1734 2188 2601 3282 3468 4923 5202 6564 9299 9846 10404 18598 19692 27897 37196 55794 83691 111588 158083 167382 299209 316166 334764 474249 598418 632332 897627 948498 1196836 1422747 1795254 1896996 2692881 2845494 3590508 5086553 5385762 5690988 10173106 10771524 15259659 20346212 30519318 45778977 61038636 86471401 91557954 172942802 183115908 259414203 345885604 518828406 778242609 1037656812 1556485218 3112970436