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290320624 = 24112295171
BaseRepresentation
bin10001010011011…
…111000011110000
3202020021211000201
4101103133003300
51043310224444
644450324544
710123453546
oct2123370360
9666254021
10290320624
11139973200
1281289754
13481bc169
142a7b3d96
151a74add4
hex114df0f0

290320624 has 60 divisors (see below), whose sum is σ = 639724680. Its totient is φ = 127388800.

The previous prime is 290320621. The next prime is 290320643. The reversal of 290320624 is 426023092.

It is a junction number, because it is equal to n+sod(n) for n = 290320592 and 290320601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290320621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53559 + ... + 58729.

It is an arithmetic number, because the mean of its divisors is an integer number (10662078).

Almost surely, 2290320624 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 290320624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319862340).

290320624 is an abundant number, since it is smaller than the sum of its proper divisors (349404056).

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

290320624 is a wasteful number, since it uses less digits than its factorization.

290320624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 290320624 is about 17038.7976101602. The cubic root of 290320624 is about 662.1544410771.

The spelling of 290320624 in words is "two hundred ninety million, three hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 968 1276 1936 2552 3509 5104 5171 7018 10342 14036 20684 28072 41368 56144 56881 82736 113762 149959 227524 299918 455048 599836 625691 910096 1199672 1251382 1649549 2399344 2502764 3299098 5005528 6598196 10011056 13196392 18145039 26392784 36290078 72580156 145160312 290320624