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23440400 = 245258601
BaseRepresentation
bin101100101101…
…0110000010000
31122002220011222
41121122300100
522000043100
62154224212
7403145234
oct131326020
948086158
1023440400
1112260135
127a25068
134b19379
1431825c4
1520d0485
hex165ac10

23440400 has 30 divisors (see below), whose sum is σ = 56316522. Its totient is φ = 9376000.

The previous prime is 23440393. The next prime is 23440411. The reversal of 23440400 is 404432.

It can be written as a sum of positive squares in 3 ways, for example, as 1048576 + 22391824 = 1024^2 + 4732^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28901 + ... + 29700.

Almost surely, 223440400 is an apocalyptic number.

23440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23440400 is an abundant number, since it is smaller than the sum of its proper divisors (32876122).

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

23440400 is a wasteful number, since it uses less digits than its factorization.

23440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58619 (or 58608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 23440400 is about 4841.5286842071. The cubic root of 23440400 is about 286.1903634273.

Adding to 23440400 its reverse (404432), we get a palindrome (23844832).

The spelling of 23440400 in words is "twenty-three million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 58601 117202 234404 293005 468808 586010 937616 1172020 1465025 2344040 2930050 4688080 5860100 11720200 23440400