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290331392 = 2813233793
BaseRepresentation
bin10001010011100…
…001101100000000
3202020022100210112
4101103201230000
51043311101032
644450450452
710123530131
oct2123415400
9666270715
10290331392
111399802aa
1281293a28
13481c4030
142a7b7c88
151a74e1b2
hex114e1b00

290331392 has 72 divisors (see below), whose sum is σ = 651414624. Its totient is φ = 128139264.

The previous prime is 290331367. The next prime is 290331407. The reversal of 290331392 is 293133092.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74648 + ... + 78440.

Almost surely, 2290331392 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 290331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325707312).

290331392 is an abundant number, since it is smaller than the sum of its proper divisors (361083232).

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

290331392 is a wasteful number, since it uses less digits than its factorization.

290331392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 290331392 is about 17039.1135919683. The cubic root of 290331392 is about 662.1626274181.

The spelling of 290331392 in words is "two hundred ninety million, three hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 598 736 832 1196 1472 1664 2392 2944 3328 3793 4784 5888 7586 9568 15172 19136 30344 38272 49309 60688 76544 87239 98618 121376 174478 197236 242752 348956 394472 485504 697912 788944 971008 1134107 1395824 1577888 2268214 2791648 3155776 4536428 5583296 6311552 9072856 11166592 12623104 18145712 22333184 36291424 72582848 145165696 290331392