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312143104 = 2871313399
BaseRepresentation
bin10010100110101…
…110110100000000
3210202100111211201
4102212232310000
51114402034404
650550150544
710510113130
oct2246566400
9722314751
10312143104
11150218809
1288652454
134c88cc80
142d654ac0
151c60bca4
hex129aed00

312143104 has 72 divisors (see below), whose sum is σ = 766908800. Its totient is φ = 123475968.

The previous prime is 312143101. The next prime is 312143107. The reversal of 312143104 is 401341213.

It is an interprime number because it is at equal distance from previous prime (312143101) and next prime (312143107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312143101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16597 + ... + 29995.

Almost surely, 2312143104 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 312143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383454400).

312143104 is an abundant number, since it is smaller than the sum of its proper divisors (454765696).

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

312143104 is a wasteful number, since it uses less digits than its factorization.

312143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13435 (or 13421 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 312143104 is about 17667.5721025839. The cubic root of 312143104 is about 678.3459684629.

Adding to 312143104 its reverse (401341213), we get a palindrome (713484317).

It can be divided in two parts, 3121 and 43104, that added together give a square (46225 = 2152).

The spelling of 312143104 in words is "three hundred twelve million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3328 5824 11648 13399 23296 26798 53596 93793 107192 174187 187586 214384 348374 375172 428768 696748 750344 857536 1219309 1393496 1500688 1715072 2438618 2786992 3001376 3430144 4877236 5573984 6002752 9754472 11147968 12005504 19508944 22295936 24011008 39017888 44591872 78035776 156071552 312143104