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400044 = 223173753
BaseRepresentation
bin1100001101010101100
3202022202110
41201222230
5100300134
612324020
73254211
oct1415254
9668673
10400044
11253617
12173610
13110118
14a5b08
157d7e9
hex61aac

400044 has 48 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 119808.

The previous prime is 400033. The next prime is 400051. The reversal of 400044 is 440004.

It is a Harshad number since it is a multiple of its sum of digits (12).

400044 is a modest number, since divided by 44 gives 40 as remainder.

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, 7522 + ... + 7574.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2400044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

400044 is an abundant number, since it is smaller than the sum of its proper divisors (634164).

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

400044 is a wasteful number, since it uses less digits than its factorization.

400044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 400044 is about 632.4903161314. The cubic root of 400044 is about 73.6833314969.

Adding to 400044 its reverse (440004), we get a palindrome (840048).

The spelling of 400044 in words is "four hundred thousand, forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 17 34 37 51 53 68 74 102 106 111 148 159 204 212 222 318 444 629 636 901 1258 1802 1887 1961 2516 2703 3604 3774 3922 5406 5883 7548 7844 10812 11766 23532 33337 66674 100011 133348 200022 400044