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290313396 = 22343761397
BaseRepresentation
bin10001010011011…
…101010010110100
3202020021110010000
4101103131102310
51043310012041
644450231300
710123423512
oct2123352264
9666243100
10290313396
1113996882a
1281285530
13481b8a99
142a7b14b2
151a748bb6
hex114dd4b4

290313396 has 120 divisors (see below), whose sum is σ = 794221736. Its totient is φ = 92378880.

The previous prime is 290313379. The next prime is 290313427. The reversal of 290313396 is 693313092.

It is a happy number.

290313396 is a `hidden beast` number, since 290 + 31 + 339 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45077796 + 245235600 = 6714^2 + 15660^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 290313396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 731070 + ... + 731466.

Almost surely, 2290313396 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 290313396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397110868).

290313396 is an abundant number, since it is smaller than the sum of its proper divisors (503908340).

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

290313396 is a wasteful number, since it uses less digits than its factorization.

290313396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 290313396 is about 17038.5855046714. The cubic root of 290313396 is about 662.1489458974.

The spelling of 290313396 in words is "two hundred ninety million, three hundred thirteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 61 74 81 108 111 122 148 162 183 222 244 324 333 366 397 444 549 666 732 794 999 1098 1191 1332 1588 1647 1998 2196 2257 2382 2997 3294 3573 3996 4514 4764 4941 5994 6588 6771 7146 9028 9882 10719 11988 13542 14292 14689 19764 20313 21438 24217 27084 29378 32157 40626 42876 44067 48434 58756 60939 64314 72651 81252 88134 96868 121878 128628 132201 145302 176268 182817 217953 243756 264402 290604 365634 396603 435906 528804 653859 731268 793206 871812 896029 1189809 1307718 1586412 1792058 1961577 2379618 2615436 2688087 3584116 3923154 4759236 5376174 7846308 8064261 10752348 16128522 24192783 32257044 48385566 72578349 96771132 145156698 290313396