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315919104 = 2834179127
BaseRepresentation
bin10010110101001…
…000101100000000
3211000110100112120
4102311020230000
51121333402404
651203124240
710554160644
oct2265105400
9730410476
10315919104
11152367776
1289973680
13505b28a7
142dd58c24
151cb059d9
hex12d48b00

315919104 has 144 divisors (see below), whose sum is σ = 879083520. Its totient is φ = 100638720.

The previous prime is 315919081. The next prime is 315919129. The reversal of 315919104 is 401919513.

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, 2487489 + ... + 2487615.

Almost surely, 2315919104 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 315919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439541760).

315919104 is an abundant number, since it is smaller than the sum of its proper divisors (563164416).

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

315919104 is a wasteful number, since it uses less digits than its factorization.

315919104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 315919104 is about 17774.1133112175. The cubic root of 315919104 is about 681.0703328464.

The spelling of 315919104 in words is "three hundred fifteen million, nine hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 79 82 96 123 127 128 158 164 192 237 246 254 256 316 328 381 384 474 492 508 632 656 762 768 948 984 1016 1264 1312 1524 1896 1968 2032 2528 2624 3048 3239 3792 3936 4064 5056 5207 5248 6096 6478 7584 7872 8128 9717 10033 10112 10414 10496 12192 12956 15168 15621 15744 16256 19434 20066 20224 20828 24384 25912 30099 30336 31242 31488 32512 38868 40132 41656 48768 51824 60198 60672 62484 77736 80264 83312 97536 103648 120396 124968 155472 160528 166624 207296 240792 249936 310944 321056 333248 411353 414592 481584 499872 621888 642112 666496 822706 829184 963168 999744 1234059 1243776 1284224 1332992 1645412 1926336 1999488 2468118 2487552 2568448 3290824 3852672 3998976 4936236 6581648 7705344 9872472 13163296 19744944 26326592 39489888 52653184 78979776 105306368 157959552 315919104