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290630832 = 24371107797
BaseRepresentation
bin10001010100101…
…010110010110000
3202020212120112220
4101110222302300
51043400141312
644501121040
710126215132
oct2124526260
9666776486
10290630832
1113a065278
12813b9180
134829a40b
142a855052
151a7acc8c
hex1152acb0

290630832 has 80 divisors (see below), whose sum is σ = 769450752. Its totient is φ = 94501120.

The previous prime is 290630807. The next prime is 290630849. The reversal of 290630832 is 238036092.

It is a junction number, because it is equal to n+sod(n) for n = 290630793 and 290630802.

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, 364258 + ... + 365054.

Almost surely, 2290630832 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 290630832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384725376).

290630832 is an abundant number, since it is smaller than the sum of its proper divisors (478819920).

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

290630832 is a wasteful number, since it uses less digits than its factorization.

290630832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 290630832 is about 17047.8981695692. The cubic root of 290630832 is about 662.3901947836.

The spelling of 290630832 in words is "two hundred ninety million, six hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 107 142 213 214 284 321 426 428 568 642 797 852 856 1136 1284 1594 1704 1712 2391 2568 3188 3408 4782 5136 6376 7597 9564 12752 15194 19128 22791 30388 38256 45582 56587 60776 85279 91164 113174 121552 169761 170558 182328 226348 255837 339522 341116 364656 452696 511674 679044 682232 905392 1023348 1358088 1364464 2046696 2716176 4093392 6054809 12109618 18164427 24219236 36328854 48438472 72657708 96876944 145315416 290630832