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290612168 = 23711673701
BaseRepresentation
bin10001010100100…
…110001111001000
3202020211121221122
4101110212033020
51043344042133
644500454412
710126106540
oct2124461710
9666747848
10290612168
1113a052250
12813aa408
1348291a82
142a84c320
151a7a7498
hex115263c8

290612168 has 64 divisors (see below), whose sum is σ = 681333120. Its totient is φ = 112896000.

The previous prime is 290612143. The next prime is 290612173. The reversal of 290612168 is 861216092.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414218 + ... + 414918.

It is an arithmetic number, because the mean of its divisors is an integer number (10645830).

Almost surely, 2290612168 is an apocalyptic number.

290612168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290612168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340666560).

290612168 is an abundant number, since it is smaller than the sum of its proper divisors (390720952).

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

290612168 is a wasteful number, since it uses less digits than its factorization.

290612168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 290612168 is about 17047.3507619219. The cubic root of 290612168 is about 662.3760151510.

The spelling of 290612168 in words is "two hundred ninety million, six hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 673 701 1346 1402 2692 2804 4711 4907 5384 5608 7403 7711 9422 9814 14806 15422 18844 19628 29612 30844 37688 39256 51821 53977 59224 61688 103642 107954 207284 215908 414568 431816 471773 943546 1887092 3302411 3774184 5189503 6604822 10379006 13209644 20758012 26419288 36326521 41516024 72653042 145306084 290612168