Search a number
-
+
315464512 = 26111743613
BaseRepresentation
bin10010110011011…
…001101101000000
3210222121020221211
4102303121231000
51121224331022
651145255504
710550255416
oct2263315500
9728536854
10315464512
11152087180
1289794594
13504839bc
142dc7b2b6
151ca65e77
hex12cd9b40

315464512 has 112 divisors (see below), whose sum is σ = 741102912. Its totient is φ = 131604480.

The previous prime is 315464453. The next prime is 315464521. The reversal of 315464512 is 215464513.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514318 + ... + 514930.

Almost surely, 2315464512 is an apocalyptic number.

315464512 is a gapful number since it is divisible by the number (32) 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 315464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370551456).

315464512 is an abundant number, since it is smaller than the sum of its proper divisors (425638400).

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

315464512 is a wasteful number, since it uses less digits than its factorization.

315464512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 686 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 315464512 is about 17761.3206716167. The cubic root of 315464512 is about 680.7435004983.

Subtracting from 315464512 its reverse (215464513), we obtain a palindrome (99999999).

The spelling of 315464512 in words is "three hundred fifteen million, four hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 43 44 64 68 86 88 136 172 176 187 272 344 352 374 473 544 613 688 704 731 748 946 1088 1226 1376 1462 1496 1892 2452 2752 2924 2992 3784 4904 5848 5984 6743 7568 8041 9808 10421 11696 11968 13486 15136 16082 19616 20842 23392 26359 26972 30272 32164 39232 41684 46784 52718 53944 64328 83368 105436 107888 114631 128656 166736 210872 215776 229262 257312 289949 333472 421744 431552 448103 458524 514624 579898 666944 843488 896206 917048 1159796 1686976 1792412 1834096 2319592 3584824 3668192 4639184 4929133 7169648 7336384 9278368 9858266 14339296 18556736 19716532 28678592 39433064 78866128 157732256 315464512