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317412048 = 24337313571
BaseRepresentation
bin10010111010110…
…101001011010000
3211010021012110210
4102322311023100
51122224141143
651255124120
710602646362
oct2272651320
9733235423
10317412048
11153197408
128a373640
13509b62a5
1430226d32
151cced033
hex12eb52d0

317412048 has 80 divisors (see below), whose sum is σ = 846312896. Its totient is φ = 102435840.

The previous prime is 317412041. The next prime is 317412059. The reversal of 317412048 is 840214713.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317412041) 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, 555603 + ... + 556173.

Almost surely, 2317412048 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 317412048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423156448).

317412048 is an abundant number, since it is smaller than the sum of its proper divisors (528900848).

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

317412048 is a wasteful number, since it uses less digits than its factorization.

317412048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 317412048 is about 17816.0615176307. The cubic root of 317412048 is about 682.1414956257.

The spelling of 317412048 in words is "three hundred seventeen million, four hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 313 444 571 592 626 888 939 1142 1252 1713 1776 1878 2284 2504 3426 3756 4568 5008 6852 7512 9136 11581 13704 15024 21127 23162 27408 34743 42254 46324 63381 69486 84508 92648 126762 138972 169016 178723 185296 253524 277944 338032 357446 507048 536169 555888 714892 1014096 1072338 1429784 2144676 2859568 4289352 6612751 8578704 13225502 19838253 26451004 39676506 52902008 79353012 105804016 158706024 317412048