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312412032 = 273390397
BaseRepresentation
bin10010100111110…
…000011110000000
3210202212011202000
4102213300132000
51114434141112
651000024000
710512313152
oct2247603600
9722764660
10312412032
11150391869
1288762000
134c9554ba
142d6c4ad2
151c6617dc
hex129f0780

312412032 has 64 divisors (see below), whose sum is σ = 922059600. Its totient is φ = 104136192.

The previous prime is 312412019. The next prime is 312412063. The reversal of 312412032 is 230214213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 312411996 and 312412014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41743 + ... + 48654.

Almost surely, 2312412032 is an apocalyptic number.

312412032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312412032 is an abundant number, since it is smaller than the sum of its proper divisors (609647568).

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

312412032 is an equidigital number, since it uses as much as digits as its factorization.

312412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90420 (or 90402 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312412032 is about 17675.1812437666. The cubic root of 312412032 is about 678.5407230026.

Adding to 312412032 its reverse (230214213), we get a palindrome (542626245).

The spelling of 312412032 in words is "three hundred twelve million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 90397 180794 271191 361588 542382 723176 813573 1084764 1446352 1627146 2169528 2440719 2892704 3254292 4339056 4881438 5785408 6508584 8678112 9762876 11570816 13017168 17356224 19525752 26034336 34712448 39051504 52068672 78103008 104137344 156206016 312412032