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315734064 = 243172316823
BaseRepresentation
bin10010110100011…
…011100000110000
3211000002221201020
4102310123200300
51121311442224
651155135440
710552460322
oct2264334060
9730087636
10315734064
11152250748
12898a4580
13505495b9
142dd0b612
151cabac79
hex12d1b830

315734064 has 80 divisors (see below), whose sum is σ = 901228032. Its totient is φ = 94741504.

The previous prime is 315734051. The next prime is 315734119. The reversal of 315734064 is 460437513.

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, 10357 + ... + 27179.

Almost surely, 2315734064 is an apocalyptic number.

315734064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315734064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450614016).

315734064 is an abundant number, since it is smaller than the sum of its proper divisors (585493968).

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

315734064 is a wasteful number, since it uses less digits than its factorization.

315734064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16874 (or 16868 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 315734064 is about 17768.9072258257. The cubic root of 315734064 is about 680.9373348036.

The spelling of 315734064 in words is "three hundred fifteen million, seven hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 782 816 1104 1173 1564 2346 3128 4692 6256 9384 16823 18768 33646 50469 67292 100938 134584 201876 269168 285991 386929 403752 571982 773858 807504 857973 1143964 1160787 1547716 1715946 2287928 2321574 3095432 3431892 4575856 4643148 6190864 6577793 6863784 9286296 13155586 13727568 18572592 19733379 26311172 39466758 52622344 78933516 105244688 157867032 315734064