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343104132 = 223717972477
BaseRepresentation
bin10100011100110…
…101101010000100
3212220121111101110
4110130311222010
51200313313012
654013525020
711334223410
oct2434655204
9786544343
10343104132
11166745238
1296aa3770
13561104c7
14337d3d40
15201c573c
hex14735a84

343104132 has 96 divisors (see below), whose sum is σ = 979147008. Its totient is φ = 91275264.

The previous prime is 343104127. The next prime is 343104137. The reversal of 343104132 is 231401343.

It is an interprime number because it is at equal distance from previous prime (343104127) and next prime (343104137).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 343104099 and 343104108.

It is not an unprimeable number, because it can be changed into a prime (343104137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 137278 + ... + 139754.

It is an arithmetic number, because the mean of its divisors is an integer number (10199448).

Almost surely, 2343104132 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 343104132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489573504).

343104132 is an abundant number, since it is smaller than the sum of its proper divisors (636042876).

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

343104132 is a wasteful number, since it uses less digits than its factorization.

343104132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 343104132 is about 18523.0702638628. The cubic root of 343104132 is about 700.0708309278.

Adding to 343104132 its reverse (231401343), we get a palindrome (574505475).

The spelling of 343104132 in words is "three hundred forty-three million, one hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 97 102 119 194 204 238 291 357 388 476 582 679 714 1164 1358 1428 1649 2037 2477 2716 3298 4074 4947 4954 6596 7431 8148 9894 9908 11543 14862 17339 19788 23086 29724 34629 34678 42109 46172 52017 69258 69356 84218 104034 126327 138516 168436 208068 240269 252654 294763 480538 505308 589526 720807 884289 961076 1179052 1441614 1681883 1768578 2883228 3363766 3537156 4084573 5045649 6727532 8169146 10091298 12253719 16338292 20182596 24507438 28592011 49014876 57184022 85776033 114368044 171552066 343104132