Search a number
-
+
315694064 = 24723710883
BaseRepresentation
bin10010110100010…
…001101111110000
3211000000220211202
4102310101233300
51121304202224
651154230332
710552232600
oct2264215760
9730026752
10315694064
11152223694
12898853a8
135053432a
142dcdac00
151caadeae
hex12d11bf0

315694064 has 60 divisors (see below), whose sum is σ = 730817064. Its totient is φ = 131628672.

The previous prime is 315694061. The next prime is 315694079. The reversal of 315694064 is 460496513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315694061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23567 + ... + 34449.

Almost surely, 2315694064 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 315694064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365408532).

315694064 is an abundant number, since it is smaller than the sum of its proper divisors (415123000).

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

315694064 is a wasteful number, since it uses less digits than its factorization.

315694064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10942 (or 10929 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 315694064 is about 17767.7816285545. The cubic root of 315694064 is about 680.9085778561.

The spelling of 315694064 in words is "three hundred fifteen million, six hundred ninety-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1813 2072 3626 4144 7252 10883 14504 21766 29008 43532 76181 87064 152362 174128 304724 402671 533267 609448 805342 1066534 1218896 1610684 2133068 2818697 3221368 4266136 5637394 6442736 8532272 11274788 19730879 22549576 39461758 45099152 78923516 157847032 315694064