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23400400 = 2452193079
BaseRepresentation
bin101100101000…
…0111111010000
31122000212022111
41121100333100
521442303100
62153315104
7402620512
oct131207720
948025274
1023400400
1112233081
127a05a94
134b040ba
143171bb2
1520c36ba
hex1650fd0

23400400 has 60 divisors (see below), whose sum is σ = 59197600. Its totient is φ = 8864640.

The previous prime is 23400397. The next prime is 23400413. The reversal of 23400400 is 400432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6061 + ... + 9139.

Almost surely, 223400400 is an apocalyptic number.

23400400 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 23400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29598800).

23400400 is an abundant number, since it is smaller than the sum of its proper divisors (35797200).

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

23400400 is a wasteful number, since it uses less digits than its factorization.

23400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 23400400 is about 4837.3959937140. The cubic root of 23400400 is about 286.0274803660.

Adding to 23400400 its reverse (400432), we get a palindrome (23800832).

The spelling of 23400400 in words is "twenty-three million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3079 3800 6158 7600 12316 15395 24632 30790 49264 58501 61580 76975 117002 123160 153950 234004 246320 292505 307900 468008 585010 615800 936016 1170020 1231600 1462525 2340040 2925050 4680080 5850100 11700200 23400400