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400311144 = 23325559877
BaseRepresentation
bin10111110111000…
…100001101101000
31000220020220122200
4113313010031220
51304434424034
6103420020200
712630405612
oct2767041550
91026226580
10400311144
11195a68762
12b2091660
1364c200cc
143b245db2
1525225a99
hex17dc4368

400311144 has 24 divisors (see below), whose sum is σ = 1084176210. Its totient is φ = 133437024.

The previous prime is 400311139. The next prime is 400311151. The reversal of 400311144 is 441113004.

It can be written as a sum of positive squares in only one way, i.e., 293436900 + 106874244 = 17130^2 + 10338^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2779867 + ... + 2780010.

Almost surely, 2400311144 is an apocalyptic number.

It is an amenable number.

400311144 is an abundant number, since it is smaller than the sum of its proper divisors (683865066).

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

400311144 is a wasteful number, since it uses less digits than its factorization.

400311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559889 (or 5559882 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400311144 is about 20007.7770879226. Note that the first 3 decimals coincide. The cubic root of 400311144 is about 736.9972942637.

Adding to 400311144 its reverse (441113004), we get a palindrome (841424148).

The spelling of 400311144 in words is "four hundred million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5559877 11119754 16679631 22239508 33359262 44479016 50038893 66718524 100077786 133437048 200155572 400311144