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400944 = 2438353
BaseRepresentation
bin1100001111000110000
3202100222210
41201320300
5100312234
612332120
73256635
oct1417060
9670883
10400944
11254265
12174040
1311065b
14a618c
157dbe9
hex61e30

400944 has 20 divisors (see below), whose sum is σ = 1035896. Its totient is φ = 133632.

The previous prime is 400943. The next prime is 400949. The reversal of 400944 is 449004.

It is a happy number.

It is a super-2 number, since 2×4009442 = 321512182272, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 400944.

It is not an unprimeable number, because it can be changed into a prime (400943) 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, 4129 + ... + 4224.

2400944 is an apocalyptic number.

It is an amenable number.

400944 is an abundant number, since it is smaller than the sum of its proper divisors (634952).

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

400944 is a wasteful number, since it uses less digits than its factorization.

400944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8364 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 400944 is about 633.2013897647. The cubic root of 400944 is about 73.7385465312.

Adding to 400944 its reverse (449004), we get a palindrome (849948).

The spelling of 400944 in words is "four hundred thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 8353 16706 25059 33412 50118 66824 100236 133648 200472 400944