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290804256 = 2534151743
BaseRepresentation
bin10001010101010…
…101001000100000
3202021012101110000
4101111111020200
51043421214011
644504540000
710130536551
oct2125251040
9667171400
10290804256
1113a1735a6
1281481600
134832b332
142a89c328
151a7e4356
hex11555220

290804256 has 120 divisors (see below), whose sum is σ = 862069824. Its totient is φ = 96163200.

The previous prime is 290804243. The next prime is 290804287. The reversal of 290804256 is 652408092.

It is a happy number.

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 290804256.

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, 391021 + ... + 391763.

Almost surely, 2290804256 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 290804256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431034912).

290804256 is an abundant number, since it is smaller than the sum of its proper divisors (571265568).

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

290804256 is a wasteful number, since it uses less digits than its factorization.

290804256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 290804256 is about 17052.9837858364. The cubic root of 290804256 is about 662.5219214771.

It can be divided in two parts, 290 and 804256, that added together give a triangular number (804546 = T1268).

The spelling of 290804256 in words is "two hundred ninety million, eight hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 151 162 216 288 302 324 432 453 604 648 743 864 906 1208 1296 1359 1486 1812 2229 2416 2592 2718 2972 3624 4077 4458 4832 5436 5944 6687 7248 8154 8916 10872 11888 12231 13374 14496 16308 17832 20061 21744 23776 24462 26748 32616 35664 40122 43488 48924 53496 60183 65232 71328 80244 97848 106992 112193 120366 130464 160488 195696 213984 224386 240732 320976 336579 391392 448772 481464 641952 673158 897544 962928 1009737 1346316 1795088 1925856 2019474 2692632 3029211 3590176 4038948 5385264 6058422 8077896 9087633 10770528 12116844 16155792 18175266 24233688 32311584 36350532 48467376 72701064 96934752 145402128 290804256