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290408031 = 3331346963
BaseRepresentation
bin10001010011110…
…100011001011111
3202020110020221000
4101103310121133
51043321024111
644452241343
710124266434
oct2123643137
9666406830
10290408031
11139a22941
1281310253
134821cb94
142a7d7b8b
151a766c56
hex114f465f

290408031 has 16 divisors (see below), whose sum is σ = 444113920. Its totient is φ = 187359480.

The previous prime is 290408021. The next prime is 290408039. The reversal of 290408031 is 130804092.

It is not a de Polignac number, because 290408031 - 227 = 156190303 is a prime.

It is a super-2 number, since 2×2904080312 = 168673648938593922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 290407986 and 290408004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290408039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172645 + ... + 174318.

It is an arithmetic number, because the mean of its divisors is an integer number (27757120).

Almost surely, 2290408031 is an apocalyptic number.

290408031 is a deficient number, since it is larger than the sum of its proper divisors (153705889).

290408031 is a wasteful number, since it uses less digits than its factorization.

290408031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347003 (or 346997 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 290408031 is about 17041.3623575112. The cubic root of 290408031 is about 662.2208861509.

It can be divided in two parts, 290 and 408031, that added together give a square (408321 = 6392).

The spelling of 290408031 in words is "two hundred ninety million, four hundred eight thousand, thirty-one".

Divisors: 1 3 9 27 31 93 279 837 346963 1040889 3122667 9368001 10755853 32267559 96802677 290408031