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290696352 = 25319197809
BaseRepresentation
bin10001010100111…
…010110010100000
3202020222220102120
4101110322302200
51043404240402
644502344240
710126610142
oct2124726240
9666886376
10290696352
1113a0aa521
128142b080
13482c119b
142a870c92
151a7c23bc
hex1153aca0

290696352 has 96 divisors (see below), whose sum is σ = 808315200. Its totient is φ = 91219968.

The previous prime is 290696323. The next prime is 290696387. The reversal of 290696352 is 253696092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2906963522 = 169008738132215808, which contains 22 as substring.

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, 358924 + ... + 359732.

It is an arithmetic number, because the mean of its divisors is an integer number (8419950).

Almost surely, 2290696352 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 290696352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404157600).

290696352 is an abundant number, since it is smaller than the sum of its proper divisors (517618848).

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

290696352 is a wasteful number, since it uses less digits than its factorization.

290696352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 290696352 is about 17049.8197057916. The cubic root of 290696352 is about 662.4399675994.

The spelling of 290696352 in words is "two hundred ninety million, six hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 197 228 304 394 456 591 608 788 809 912 1182 1576 1618 1824 2364 2427 3152 3236 3743 4728 4854 6304 6472 7486 9456 9708 11229 12944 14972 15371 18912 19416 22458 25888 29944 30742 38832 44916 46113 59888 61484 77664 89832 92226 119776 122968 159373 179664 184452 245936 318746 359328 368904 478119 491872 637492 737808 956238 1274984 1475616 1912476 2549968 3028087 3824952 5099936 6056174 7649904 9084261 12112348 15299808 18168522 24224696 36337044 48449392 72674088 96898784 145348176 290696352