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312112024 = 23723713413
BaseRepresentation
bin10010100110100…
…111001110011000
3210202021221012121
4102212213032120
51114400041044
650545351024
710506623410
oct2246471630
9722257177
10312112024
111501a7424
1288638474
134c87ba93
142d647640
151c602984
hex129a7398

312112024 has 64 divisors (see below), whose sum is σ = 707927040. Its totient is φ = 126107520.

The previous prime is 312111977. The next prime is 312112033. The reversal of 312112024 is 420211213.

It is a junction number, because it is equal to n+sod(n) for n = 312111989 and 312112007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89742 + ... + 93154.

It is an arithmetic number, because the mean of its divisors is an integer number (11061360).

Almost surely, 2312112024 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 312112024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353963520).

312112024 is an abundant number, since it is smaller than the sum of its proper divisors (395815016).

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

312112024 is a wasteful number, since it uses less digits than its factorization.

312112024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 312112024 is about 17666.6925031258. The cubic root of 312112024 is about 678.3234534772.

Adding to 312112024 its reverse (420211213), we get a palindrome (732323237).

The spelling of 312112024 in words is "three hundred twelve million, one hundred twelve thousand, twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 71 92 142 161 184 284 322 497 568 644 994 1288 1633 1988 3266 3413 3976 6532 6826 11431 13064 13652 22862 23891 27304 45724 47782 78499 91448 95564 156998 191128 242323 313996 484646 549493 627992 969292 1098986 1696261 1938584 2197972 3392522 4395944 5573429 6785044 11146858 13570088 22293716 39014003 44587432 78028006 156056012 312112024