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290934468 = 2232115571319
BaseRepresentation
bin10001010101110…
…100111011000100
3202021110000001200
4101111310323010
51043434400333
644511422500
710131621306
oct2125647304
9667400050
10290934468
1113a252410
1281524a30
1348375696
142a8d3976
151a81cc13
hex11574ec4

290934468 has 72 divisors (see below), whose sum is σ = 804323520. Its totient is φ = 87936960.

The previous prime is 290934451. The next prime is 290934551. The reversal of 290934468 is 864439092.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219913 + ... + 221231.

It is an arithmetic number, because the mean of its divisors is an integer number (11171160).

Almost surely, 2290934468 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 290934468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

290934468 is an abundant number, since it is smaller than the sum of its proper divisors (513389052).

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

290934468 is a wasteful number, since it uses less digits than its factorization.

290934468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 290934468 is about 17056.8012241452. The cubic root of 290934468 is about 662.6207914556.

The spelling of 290934468 in words is "two hundred ninety million, nine hundred thirty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 557 1114 1319 1671 2228 2638 3342 3957 5013 5276 6127 6684 7914 10026 11871 12254 14509 15828 18381 20052 23742 24508 29018 36762 43527 47484 55143 58036 73524 87054 110286 130581 174108 220572 261162 522324 734683 1469366 2204049 2938732 4408098 6612147 8081513 8816196 13224294 16163026 24244539 26448588 32326052 48489078 72733617 96978156 145467234 290934468