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123413304 = 23371574679
BaseRepresentation
bin1110101101100…
…10001100111000
322121020001020010
413112302030320
5223043211204
620125101520
73025665360
oct726621470
9277201203
10123413304
1163733273
12353b78a0
131c750731
14125679a0
15ac7bd89
hex75b2338

123413304 has 64 divisors (see below), whose sum is σ = 354931200. Its totient is φ = 35028864.

The previous prime is 123413293. The next prime is 123413333. The reversal of 123413304 is 403314321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24037 + ... + 28715.

It is an arithmetic number, because the mean of its divisors is an integer number (5545800).

Almost surely, 2123413304 is an apocalyptic number.

123413304 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 123413304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177465600).

123413304 is an abundant number, since it is smaller than the sum of its proper divisors (231517896).

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

123413304 is a wasteful number, since it uses less digits than its factorization.

123413304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 4848 counting only the distinct ones).

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

The square root of 123413304 is about 11109.1540632039. The cubic root of 123413304 is about 497.8753901868.

Adding to 123413304 its reverse (403314321), we get a palindrome (526727625).

The spelling of 123413304 in words is "one hundred twenty-three million, four hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 471 628 942 1099 1256 1884 2198 3297 3768 4396 4679 6594 8792 9358 13188 14037 18716 26376 28074 32753 37432 56148 65506 98259 112296 131012 196518 262024 393036 734603 786072 1469206 2203809 2938412 4407618 5142221 5876824 8815236 10284442 15426663 17630472 20568884 30853326 41137768 61706652 123413304