Search a number
-
+
10634316 = 22371117677
BaseRepresentation
bin101000100100…
…010001001100
3202000021112120
4220210101030
510210244231
61015532540
7156250560
oct50442114
922007476
1010634316
1160037a0
12368a150
1322844c4
1415ab6a0
15e00d96
hexa2444c

10634316 has 96 divisors (see below), whose sum is σ = 32804352. Its totient is φ = 2595840.

The previous prime is 10634297. The next prime is 10634321. The reversal of 10634316 is 61343601.

It is a super-2 number, since 2×106343162 = 226177353575712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15370 + ... + 16046.

It is an arithmetic number, because the mean of its divisors is an integer number (341712).

Almost surely, 210634316 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 10634316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402176).

10634316 is an abundant number, since it is smaller than the sum of its proper divisors (22170036).

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

10634316 is a wasteful number, since it uses less digits than its factorization.

10634316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 10634316 is about 3261.0298986670. The cubic root of 10634316 is about 219.9057171758.

Adding to 10634316 its reverse (61343601), we get a palindrome (71977917).

The spelling of 10634316 in words is "ten million, six hundred thirty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 677 714 748 924 1122 1309 1354 1428 2031 2244 2618 2708 3927 4062 4739 5236 7447 7854 8124 9478 11509 14217 14894 15708 18956 22341 23018 28434 29788 34527 44682 46036 52129 56868 69054 80563 89364 104258 126599 138108 156387 161126 208516 241689 253198 312774 322252 379797 483378 506396 625548 759594 886193 966756 1519188 1772386 2658579 3544772 5317158 10634316