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23412320 = 2551311117
BaseRepresentation
bin101100101001…
…1111001100000
31122001110122222
41121103321200
521443143240
62153450212
7403000331
oct131237140
948043588
1023412320
1112241028
127a10968
134b09659
143176288
1520c6eb5
hex1653e60

23412320 has 48 divisors (see below), whose sum is σ = 55783728. Its totient is φ = 9285120.

The previous prime is 23412299. The next prime is 23412329. The reversal of 23412320 is 2321432.

23412320 = T459 + T460 + ... + T618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23412329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20402 + ... + 21518.

It is an arithmetic number, because the mean of its divisors is an integer number (1162161).

Almost surely, 223412320 is an apocalyptic number.

23412320 is a gapful number since it is divisible by the number (20) 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 23412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27891864).

23412320 is an abundant number, since it is smaller than the sum of its proper divisors (32371408).

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

23412320 is a wasteful number, since it uses less digits than its factorization.

23412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 23412320 is about 4838.6279046854. The cubic root of 23412320 is about 286.0760389207.

Adding to 23412320 its reverse (2321432), we get a palindrome (25733752).

It can be divided in two parts, 23412 and 320, that added together give a palindrome (23732).

The spelling of 23412320 in words is "twenty-three million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 1048 1117 1310 2096 2234 2620 4192 4468 5240 5585 8936 10480 11170 17872 20960 22340 35744 44680 89360 146327 178720 292654 585308 731635 1170616 1463270 2341232 2926540 4682464 5853080 11706160 23412320