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268894404 = 22349112
BaseRepresentation
bin10000000001110…
…000000011000100
3200201222020210000
4100001300003010
51022314110104
642403201300
76443364462
oct2001600304
9621866700
10268894404
11128869389
1276076230
134392981c
14279d7832
1518917639
hex100700c4

268894404 has 45 divisors (see below), whose sum is σ = 703715551. Its totient is φ = 89533080.

The previous prime is 268894393. The next prime is 268894411. The reversal of 268894404 is 404498862.

The square root of 268894404 is 16398.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 268894404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 294709 + ... + 295619.

Almost surely, 2268894404 is an apocalyptic number.

268894404 is the 16398-th square number.

It is an amenable number.

268894404 is an abundant number, since it is smaller than the sum of its proper divisors (434821147).

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

268894404 is an frugal number, since it uses more digits than its factorization.

268894404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The cubic root of 268894404 is about 645.4470022046.

The spelling of 268894404 in words is "two hundred sixty-eight million, eight hundred ninety-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 911 1822 2733 3644 5466 8199 10932 16398 24597 32796 49194 73791 98388 147582 295164 829921 1659842 2489763 3319684 4979526 7469289 9959052 14938578 22407867 29877156 44815734 67223601 89631468 134447202 268894404