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312052312 = 231113416653
BaseRepresentation
bin10010100110011…
…000101001011000
3210202011220022001
4102212120221120
51114341133222
650544210344
710506254335
oct2246305130
9722156261
10312052312
11150166580
12886099b4
134c85a850
142d62d98c
151c5dee27
hex12998a58

312052312 has 64 divisors (see below), whose sum is σ = 704259360. Its totient is φ = 127718400.

The previous prime is 312052309. The next prime is 312052319. The reversal of 312052312 is 213250213.

It is a self number, because there is not a number n which added to its sum of digits gives 312052312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312052319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43578 + ... + 50230.

Almost surely, 2312052312 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 312052312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352129680).

312052312 is an abundant number, since it is smaller than the sum of its proper divisors (392207048).

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

312052312 is a wasteful number, since it uses less digits than its factorization.

312052312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6724 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 312052312 is about 17665.0024624963. The cubic root of 312052312 is about 678.2801926924.

The spelling of 312052312 in words is "three hundred twelve million, fifty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 41 44 52 82 88 104 143 164 286 328 451 533 572 902 1066 1144 1804 2132 3608 4264 5863 6653 11726 13306 23452 26612 46904 53224 73183 86489 146366 172978 272773 292732 345956 545546 585464 691912 951379 1091092 1902758 2182184 3000503 3546049 3805516 6001006 7092098 7611032 12002012 14184196 24004024 28368392 39006539 78013078 156026156 312052312