Search a number
-
+
123405304 = 231119233209
BaseRepresentation
bin1110101101100…
…00001111111000
322121012122020211
413112300033320
5223042432204
620125000504
73025633141
oct726601770
9277178224
10123405304
1163728260
12353b3134
131c749bb9
1412564ac8
15ac79804
hex75b03f8

123405304 has 64 divisors (see below), whose sum is σ = 277344000. Its totient is φ = 50814720.

The previous prime is 123405299. The next prime is 123405311. The reversal of 123405304 is 403504321.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 36852 + ... + 40060.

It is an arithmetic number, because the mean of its divisors is an integer number (4333500).

Almost surely, 2123405304 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 123405304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138672000).

123405304 is an abundant number, since it is smaller than the sum of its proper divisors (153938696).

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

123405304 is a wasteful number, since it uses less digits than its factorization.

123405304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 123405304 is about 11108.7939939491. The cubic root of 123405304 is about 497.8646320566.

Adding to 123405304 its reverse (403504321), we get a palindrome (526909625).

The spelling of 123405304 in words is "one hundred twenty-three million, four hundred five thousand, three hundred four".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 418 437 506 836 874 1012 1672 1748 2024 3209 3496 4807 6418 9614 12836 19228 25672 35299 38456 60971 70598 73807 121942 141196 147614 243884 282392 295228 487768 590456 670681 811877 1341362 1402333 1623754 2682724 2804666 3247508 5365448 5609332 6495016 11218664 15425663 30851326 61702652 123405304