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264001340 = 22522075981
BaseRepresentation
bin11111011110001…
…01011100111100
3200101202122202102
433233011130330
51020041020330
642110244232
76353655131
oct1757053474
9611678672
10264001340
11126027129
12744b6678
1342905615
14270c2588
151829c945
hexfbc573c

264001340 has 24 divisors (see below), whose sum is σ = 554746752. Its totient is φ = 105535040.

The previous prime is 264001289. The next prime is 264001393. The reversal of 264001340 is 43100462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 41150 + ... + 47130.

It is an arithmetic number, because the mean of its divisors is an integer number (23114448).

Almost surely, 2264001340 is an apocalyptic number.

264001340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264001340 is an abundant number, since it is smaller than the sum of its proper divisors (290745412).

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

264001340 is a wasteful number, since it uses less digits than its factorization.

264001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197 (or 8195 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 264001340 is about 16248.1180448691. The cubic root of 264001340 is about 641.5079513751.

The spelling of 264001340 in words is "two hundred sixty-four million, one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 2207 4414 5981 8828 11035 11962 22070 23924 29905 44140 59810 119620 13200067 26400134 52800268 66000335 132000670 264001340