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290432688 = 24371366491
BaseRepresentation
bin10001010011111…
…010011010110000
3202020111111202020
4101103322122300
51043322321223
644452551440
710124431350
oct2123723260
9666444666
10290432688
11139a3a417
1281322580
134822b180
142a802b60
151a76e1e3
hex114fa6b0

290432688 has 80 divisors (see below), whose sum is σ = 923440896. Its totient is φ = 76596480.

The previous prime is 290432669. The next prime is 290432717. The reversal of 290432688 is 886234092.

290432688 is nontrivially palindromic in base 9.

290432688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2904326882 = 168702292517810688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 9.

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, 28878 + ... + 37613.

Almost surely, 2290432688 is an apocalyptic number.

290432688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

290432688 is an abundant number, since it is smaller than the sum of its proper divisors (633008208).

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

290432688 is a wasteful number, since it uses less digits than its factorization.

290432688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66522 (or 66516 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 290432688 is about 17042.0857878371. The cubic root of 290432688 is about 662.2396275039.

The spelling of 290432688 in words is "two hundred ninety million, four hundred thirty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 66491 132982 199473 265964 398946 465437 531928 797892 864383 930874 1063856 1396311 1595784 1728766 1861748 2593149 2792622 3191568 3457532 3723496 5186298 5585244 6050681 6915064 7446992 10372596 11170488 12101362 13830128 18152043 20745192 22340976 24202724 36304086 41490384 48405448 72608172 96810896 145216344 290432688