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290437416 = 23324033853
BaseRepresentation
bin10001010011111…
…011100100101000
3202020111202020100
4101103323210220
51043322444131
644453025400
710124451213
oct2123734450
9666452210
10290437416
11139a42a25
1281325260
1348230379
142a80477a
151a7707e6
hex114fb928

290437416 has 24 divisors (see below), whose sum is σ = 786601530. Its totient is φ = 96812448.

The previous prime is 290437391. The next prime is 290437423. The reversal of 290437416 is 614734092.

It can be written as a sum of positive squares in only one way, i.e., 274034916 + 16402500 = 16554^2 + 4050^2 .

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

It is a super-2 number, since 2×2904374162 = 168707785225514112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2016855 + ... + 2016998.

Almost surely, 2290437416 is an apocalyptic number.

It is an amenable number.

290437416 is an abundant number, since it is smaller than the sum of its proper divisors (496164114).

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

290437416 is a wasteful number, since it uses less digits than its factorization.

290437416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033865 (or 4033858 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 290437416 is about 17042.2245026874. The cubic root of 290437416 is about 662.2432210525.

The spelling of 290437416 in words is "two hundred ninety million, four hundred thirty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4033853 8067706 12101559 16135412 24203118 32270824 36304677 48406236 72609354 96812472 145218708 290437416