Search a number
-
+
315023488 = 2713312197
BaseRepresentation
bin10010110001101…
…110000010000000
3210221202211222121
4102301232002000
51121121222423
651132014024
710543440553
oct2261560200
9727684877
10315023488
1115190589a
1289601314
135035b040
142dba469a
151c9ca45d
hex12c6e080

315023488 has 96 divisors (see below), whose sum is σ = 701911980. Its totient is φ = 139991040.

The previous prime is 315023453. The next prime is 315023497. The reversal of 315023488 is 884320513.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 310041664 + 4981824 = 17608^2 + 2232^2 .

It is a super-2 number, since 2×3150234882 = 198479595983372288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1599006 + ... + 1599202.

Almost surely, 2315023488 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 315023488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350955990).

315023488 is an abundant number, since it is smaller than the sum of its proper divisors (386888492).

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

315023488 is a wasteful number, since it uses less digits than its factorization.

315023488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 315023488 is about 17748.9010364022. The cubic root of 315023488 is about 680.4261227640.

The spelling of 315023488 in words is "three hundred fifteen million, twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 197 208 248 394 403 416 496 788 806 832 961 992 1576 1612 1664 1922 1984 2561 3152 3224 3844 3968 5122 6107 6304 6448 7688 10244 12214 12493 12608 12896 15376 20488 24428 24986 25216 25792 30752 40976 48856 49972 51584 61504 79391 81952 97712 99944 123008 158782 163904 189317 195424 199888 317564 327808 378634 390848 399776 635128 757268 781696 799552 1270256 1514536 1599104 2461121 2540512 3029072 4922242 5081024 6058144 9844484 10162048 12116288 19688968 24232576 39377936 78755872 157511744 315023488