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315241432 = 231167127421
BaseRepresentation
bin10010110010100…
…011001111011000
3210222011220221121
4102302203033120
51121200211212
651140415024
710545336142
oct2262431730
9728156847
10315241432
11151a44610
12896a7474
13504062bc
142dc1dc92
151ca1ed07
hex12ca33d8

315241432 has 64 divisors (see below), whose sum is σ = 661155840. Its totient is φ = 139708800.

The previous prime is 315241429. The next prime is 315241447. The reversal of 315241432 is 234142513.

It is a junction number, because it is equal to n+sod(n) for n = 315241397 and 315241406.

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, 748582 + ... + 749002.

It is an arithmetic number, because the mean of its divisors is an integer number (10330560).

Almost surely, 2315241432 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 315241432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330577920).

315241432 is an abundant number, since it is smaller than the sum of its proper divisors (345914408).

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

315241432 is a wasteful number, since it uses less digits than its factorization.

315241432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 315241432 is about 17755.0396225973. The cubic root of 315241432 is about 680.5830005961.

Adding to 315241432 its reverse (234142513), we get a palindrome (549383945).

The spelling of 315241432 in words is "three hundred fifteen million, two hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 67 88 127 134 254 268 421 508 536 737 842 1016 1397 1474 1684 2794 2948 3368 4631 5588 5896 8509 9262 11176 17018 18524 28207 34036 37048 53467 56414 68072 93599 106934 112828 187198 213868 225656 310277 374396 427736 588137 620554 748792 1176274 1241108 2352548 2482216 3582289 4705096 7164578 14329156 28658312 39405179 78810358 157620716 315241432