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312990696 = 23333739163
BaseRepresentation
bin10010101001111…
…101101111101000
3210210221120112000
4102221331233220
51120111200241
651020251000
710520243214
oct2251755750
9723846460
10312990696
111507475a7
12889a0a60
134cac89c5
142d7d5944
151c727eb6
hex12a7dbe8

312990696 has 64 divisors (see below), whose sum is σ = 892939200. Its totient is φ = 101507904.

The previous prime is 312990631. The next prime is 312990709. The reversal of 312990696 is 696099213.

It is a happy number.

312990696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11590 + ... + 27573.

It is an arithmetic number, because the mean of its divisors is an integer number (13952175).

Almost surely, 2312990696 is an apocalyptic number.

312990696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312990696 is an abundant number, since it is smaller than the sum of its proper divisors (579948504).

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

312990696 is a wasteful number, since it uses less digits than its factorization.

312990696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39215 (or 39205 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 312990696 is about 17691.5430644136. The cubic root of 312990696 is about 678.9594061001.

The spelling of 312990696 in words is "three hundred twelve million, nine hundred ninety thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 39163 78326 117489 156652 234978 313304 352467 469956 704934 939912 1057401 1409868 1449031 2114802 2819736 2898062 4229604 4347093 5796124 8459208 8694186 11592248 13041279 17388372 26082558 34776744 39123837 52165116 78247674 104330232 156495348 312990696