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312104632 = 237171372393
BaseRepresentation
bin10010100110100…
…101011010111000
3210202021120001211
4102212211122320
51114344322012
650545252504
710506563020
oct2246453270
9722246054
10312104632
111501a1914
1288634134
134c8785c8
142d644a80
151c6006a7
hex129a56b8

312104632 has 64 divisors (see below), whose sum is σ = 713603520. Its totient is φ = 124919808.

The previous prime is 312104627. The next prime is 312104633. The reversal of 312104632 is 236401213.

312104632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312104633) 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, 129228 + ... + 131620.

It is an arithmetic number, because the mean of its divisors is an integer number (11150055).

Almost surely, 2312104632 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 312104632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356801760).

312104632 is an abundant number, since it is smaller than the sum of its proper divisors (401498888).

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

312104632 is a wasteful number, since it uses less digits than its factorization.

312104632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 312104632 is about 17666.4832946458. The cubic root of 312104632 is about 678.3180983417.

Adding to 312104632 its reverse (236401213), we get a palindrome (548505845).

The spelling of 312104632 in words is "three hundred twelve million, one hundred four thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 137 238 274 476 548 952 959 1096 1918 2329 2393 3836 4658 4786 7672 9316 9572 16303 16751 18632 19144 32606 33502 40681 65212 67004 81362 130424 134008 162724 284767 325448 327841 569534 655682 1139068 1311364 2278136 2294887 2622728 4589774 5573297 9179548 11146594 18359096 22293188 39013079 44586376 78026158 156052316 312104632