Search a number
-
+
130684344 = 233723311091
BaseRepresentation
bin1111100101000…
…01010110111000
3100002220110012220
413302201112320
5231423344334
620545004040
73144540630
oct762412670
9302813186
10130684344
116784a09a
1237923620
13210c811b
14134db6c0
15b716449
hex7ca15b8

130684344 has 128 divisors (see below), whose sum is σ = 402554880. Its totient is φ = 34531200.

The previous prime is 130684339. The next prime is 130684357. The reversal of 130684344 is 443486031.

It is a happy number.

It is a congruent number.

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, 119239 + ... + 120329.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2130684344 is an apocalyptic number.

130684344 is a gapful number since it is divisible by the number (14) 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 130684344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

130684344 is an abundant number, since it is smaller than the sum of its proper divisors (271870536).

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

130684344 is a wasteful number, since it uses less digits than its factorization.

130684344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 130684344 is about 11431.7253291006. The cubic root of 130684344 is about 507.4670563520.

The spelling of 130684344 in words is "one hundred thirty million, six hundred eighty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 56 62 69 84 92 93 124 138 161 168 184 186 217 248 276 322 372 434 483 552 644 651 713 744 868 966 1091 1288 1302 1426 1736 1932 2139 2182 2604 2852 3273 3864 4278 4364 4991 5208 5704 6546 7637 8556 8728 9982 13092 14973 15274 17112 19964 22911 25093 26184 29946 30548 33821 39928 45822 50186 59892 61096 67642 75279 91644 100372 101463 119784 135284 150558 175651 183288 200744 202926 236747 270568 301116 351302 405852 473494 526953 602232 702604 710241 777883 811704 946988 1053906 1405208 1420482 1555766 1893976 2107812 2333649 2840964 3111532 4215624 4667298 5445181 5681928 6223064 9334596 10890362 16335543 18669192 21780724 32671086 43561448 65342172 130684344