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23406816 = 2531571553
BaseRepresentation
bin101100101001…
…0100011100000
31122001012010010
41121102203200
521443004231
62153404520
7402645306
oct131224340
948035103
1023406816
1112237984
127a09740
134b06cb4
143174276
1520c5546
hex16528e0

23406816 has 48 divisors (see below), whose sum is σ = 61874064. Its totient is φ = 7747584.

The previous prime is 23406809. The next prime is 23406827. The reversal of 23406816 is 61860432.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14296 + ... + 15848.

It is an arithmetic number, because the mean of its divisors is an integer number (1289043).

Almost surely, 223406816 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 23406816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30937032).

23406816 is an abundant number, since it is smaller than the sum of its proper divisors (38467248).

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

23406816 is a wasteful number, since it uses less digits than its factorization.

23406816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 23406816 is about 4838.0591149758. The cubic root of 23406816 is about 286.0536193011.

The spelling of 23406816 in words is "twenty-three million, four hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1553 1884 2512 3106 3768 4659 5024 6212 7536 9318 12424 15072 18636 24848 37272 49696 74544 149088 243821 487642 731463 975284 1462926 1950568 2925852 3901136 5851704 7802272 11703408 23406816