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23368440 = 23351931009
BaseRepresentation
bin101100100100…
…1001011111000
31121222020110210
41121021023320
521440242230
62152511120
7402425364
oct131111370
947866423
1023368440
1112211067
1279ab4a0
134ac26a4
1431642a4
1520b8eb0
hex16492f8

23368440 has 64 divisors (see below), whose sum is σ = 70538400. Its totient is φ = 6193152.

The previous prime is 23368439. The next prime is 23368453. The reversal of 23368440 is 4486332.

23368440 = T165 + T166 + ... + T524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23368398 and 23368407.

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, 22656 + ... + 23664.

Almost surely, 223368440 is an apocalyptic number.

23368440 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 23368440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35269200).

23368440 is an abundant number, since it is smaller than the sum of its proper divisors (47169960).

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

23368440 is a wasteful number, since it uses less digits than its factorization.

23368440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 23368440 is about 4834.0914347993. The cubic root of 23368440 is about 285.8972033452.

The spelling of 23368440 in words is "twenty-three million, three hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1009 1158 1544 1930 2018 2316 2895 3027 3860 4036 4632 5045 5790 6054 7720 8072 10090 11580 12108 15135 20180 23160 24216 30270 40360 60540 121080 194737 389474 584211 778948 973685 1168422 1557896 1947370 2336844 2921055 3894740 4673688 5842110 7789480 11684220 23368440