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312342024 = 233234313159
BaseRepresentation
bin10010100111011…
…111011000001000
3210202201121201010
4102213133120020
51114424421044
650554323520
710511602101
oct2247373010
9722647633
10312342024
11150344205
12887295a0
134c92c687
142d6a73a8
151c64abb9
hex129df608

312342024 has 64 divisors (see below), whose sum is σ = 833817600. Its totient is φ = 97263936.

The previous prime is 312342013. The next prime is 312342089. The reversal of 312342024 is 420243213.

312342024 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17157 + ... + 30315.

It is an arithmetic number, because the mean of its divisors is an integer number (13028400).

Almost surely, 2312342024 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 312342024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416908800).

312342024 is an abundant number, since it is smaller than the sum of its proper divisors (521475576).

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

312342024 is a wasteful number, since it uses less digits than its factorization.

312342024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13234 (or 13230 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 312342024 is about 17673.2007287871. The cubic root of 312342024 is about 678.4900347845.

Adding to 312342024 its reverse (420243213), we get a palindrome (732585237).

The spelling of 312342024 in words is "three hundred twelve million, three hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 258 276 344 516 552 989 1032 1978 2967 3956 5934 7912 11868 13159 23736 26318 39477 52636 78954 105272 157908 302657 315816 565837 605314 907971 1131674 1210628 1697511 1815942 2263348 2421256 3395022 3631884 4526696 6790044 7263768 13014251 13580088 26028502 39042753 52057004 78085506 104114008 156171012 312342024