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423024400 = 24521057561
BaseRepresentation
bin11001001101101…
…101011100010000
31002110222212101101
4121031231130100
51331243240100
6105550514144
713324435201
oct3115553420
91073885341
10423024400
111a7871547
12b9805954
13698434c6
14402795a8
152721086a
hex1936d710

423024400 has 30 divisors (see below), whose sum is σ = 1016317082. Its totient is φ = 169209600.

The previous prime is 423024397. The next prime is 423024401. The reversal of 423024400 is 4420324.

It can be written as a sum of positive squares in 3 ways, for example, as 102900736 + 320123664 = 10144^2 + 17892^2 .

It is not an unprimeable number, because it can be changed into a prime (423024401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 528381 + ... + 529180.

Almost surely, 2423024400 is an apocalyptic number.

423024400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423024400 is an abundant number, since it is smaller than the sum of its proper divisors (593292682).

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

423024400 is a wasteful number, since it uses less digits than its factorization.

423024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057579 (or 1057568 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 423024400 is about 20567.5569769479. The cubic root of 423024400 is about 750.6805082838.

Adding to 423024400 its reverse (4420324), we get a palindrome (427444724).

The spelling of 423024400 in words is "four hundred twenty-three million, twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1057561 2115122 4230244 5287805 8460488 10575610 16920976 21151220 26439025 42302440 52878050 84604880 105756100 211512200 423024400