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23378656 = 257104369
BaseRepresentation
bin101100100101…
…1101011100000
31121222202111011
41121023223200
521441104111
62153030304
7402500230
oct131135340
947882434
1023378656
1112218804
1279b5394
134ac7232
143167cc0
1520bc021
hex164bae0

23378656 has 24 divisors (see below), whose sum is σ = 52602480. Its totient is φ = 10019328.

The previous prime is 23378567. The next prime is 23378657. The reversal of 23378656 is 65687332.

It is a super-3 number, since 3×233786563 (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23378657) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51961 + ... + 52408.

It is an arithmetic number, because the mean of its divisors is an integer number (2191770).

Almost surely, 223378656 is an apocalyptic number.

It is an amenable number.

23378656 is an abundant number, since it is smaller than the sum of its proper divisors (29223824).

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

23378656 is a wasteful number, since it uses less digits than its factorization.

23378656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104386 (or 104378 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 23378656 is about 4835.1479811894. The cubic root of 23378656 is about 285.9388592468.

The spelling of 23378656 in words is "twenty-three million, three hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 104369 208738 417476 730583 834952 1461166 1669904 2922332 3339808 5844664 11689328 23378656