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290639016 = 23343891153
BaseRepresentation
bin10001010100101…
…100110010101000
3202020212222210000
4101110230302220
51043400422031
644501223000
710126251033
oct2124546250
9666788700
10290639016
1113a070438
1281401a60
13482a1065
142a85801a
151a7b03e6
hex1152cca8

290639016 has 80 divisors (see below), whose sum is σ = 816858900. Its totient is φ = 96546816.

The previous prime is 290638973. The next prime is 290639059. The reversal of 290639016 is 610936092.

290639016 is a `hidden beast` number, since 2 + 9 + 0 + 639 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (290638973) and next prime (290639059).

It can be written as a sum of positive squares in 2 ways, for example, as 290566116 + 72900 = 17046^2 + 270^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 251496 + ... + 252648.

Almost surely, 2290639016 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 290639016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408429450).

290639016 is an abundant number, since it is smaller than the sum of its proper divisors (526219884).

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

290639016 is a wasteful number, since it uses less digits than its factorization.

290639016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 290639016 is about 17048.1381974690. The cubic root of 290639016 is about 662.3964122364.

The spelling of 290639016 in words is "two hundred ninety million, six hundred thirty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 389 648 778 1153 1167 1556 2306 2334 3112 3459 3501 4612 4668 6918 7002 9224 9336 10377 10503 13836 14004 20754 21006 27672 28008 31131 31509 41508 42012 62262 63018 83016 84024 93393 124524 126036 186786 249048 252072 373572 448517 747144 897034 1345551 1794068 2691102 3588136 4036653 5382204 8073306 10764408 12109959 16146612 24219918 32293224 36329877 48439836 72659754 96879672 145319508 290639016