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264560340 = 223511400849
BaseRepresentation
bin11111100010011…
…01111011010100
3200102211001120010
433301031323110
51020211412330
642130240220
76361503642
oct1761157324
9612731503
10264560340
11126379110
1274726070
1342a6cba5
14271ca192
151835d3b0
hexfc4ded4

264560340 has 48 divisors (see below), whose sum is σ = 808113600. Its totient is φ = 64135680.

The previous prime is 264560339. The next prime is 264560357. The reversal of 264560340 is 43065462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264560298 and 264560307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199765 + ... + 201084.

It is an arithmetic number, because the mean of its divisors is an integer number (16835700).

Almost surely, 2264560340 is an apocalyptic number.

264560340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264560340 is an abundant number, since it is smaller than the sum of its proper divisors (543553260).

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

264560340 is a wasteful number, since it uses less digits than its factorization.

264560340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400872 (or 400870 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 264560340 is about 16265.3109407721. The cubic root of 264560340 is about 641.9604113747.

The spelling of 264560340 in words is "two hundred sixty-four million, five hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 400849 801698 1202547 1603396 2004245 2405094 4008490 4409339 4810188 6012735 8016980 8818678 12025470 13228017 17637356 22046695 24050940 26456034 44093390 52912068 66140085 88186780 132280170 264560340