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290634256 = 241122361107
BaseRepresentation
bin10001010100101…
…011101000010000
3202020212202020201
4101110223220100
51043400244011
644501144544
710126231123
oct2124535020
9666782221
10290634256
1113a067900
12813bb154
134829bb43
142a8563ba
151a7adcc1
hex1152ba10

290634256 has 120 divisors (see below), whose sum is σ = 662582592. Its totient is φ = 123129600.

The previous prime is 290634251. The next prime is 290634283. The reversal of 290634256 is 652436092.

It is not an unprimeable number, because it can be changed into a prime (290634251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2716155 + ... + 2716261.

Almost surely, 2290634256 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 290634256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331291296).

290634256 is an abundant number, since it is smaller than the sum of its proper divisors (371948336).

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

290634256 is a wasteful number, since it uses less digits than its factorization.

290634256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 290634256 is about 17047.9985922102. The cubic root of 290634256 is about 662.3927960390.

The spelling of 290634256 in words is "two hundred ninety million, six hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 23 44 46 61 88 92 107 121 122 176 184 214 242 244 253 368 428 484 488 506 671 856 968 976 1012 1177 1342 1403 1712 1936 2024 2354 2461 2684 2783 2806 4048 4708 4922 5368 5566 5612 6527 7381 9416 9844 10736 11132 11224 12947 13054 14762 15433 18832 19688 22264 22448 25894 26108 27071 29524 30866 39376 44528 51788 52216 54142 59048 61732 71797 103576 104432 108284 118096 123464 143594 150121 169763 207152 216568 246928 287188 297781 300242 339526 433136 574376 595562 600484 679052 789767 1148752 1191124 1200968 1358104 1579534 1651331 2382248 2401936 2716208 3159068 3302662 4764496 6318136 6605324 12636272 13210648 18164641 26421296 36329282 72658564 145317128 290634256