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264326440 = 23578910607
BaseRepresentation
bin11111100000101…
…00110100101000
3200102101011201011
433300110310220
51020131421230
642121233304
76356511010
oct1760246450
9612334634
10264326440
11126229404
1274632834
13429ba5a1
1427168c40
1518313e2a
hexfc14d28

264326440 has 64 divisors (see below), whose sum is σ = 687398400. Its totient is φ = 89599488.

The previous prime is 264326437. The next prime is 264326441. The reversal of 264326440 is 44623462.

It is not an unprimeable number, because it can be changed into a prime (264326441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19617 + ... + 30223.

It is an arithmetic number, because the mean of its divisors is an integer number (10740600).

Almost surely, 2264326440 is an apocalyptic number.

264326440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264326440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343699200).

264326440 is an abundant number, since it is smaller than the sum of its proper divisors (423071960).

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

264326440 is a wasteful number, since it uses less digits than its factorization.

264326440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10714 (or 10710 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 264326440 is about 16258.1192024170. The cubic root of 264326440 is about 641.7711680778.

The spelling of 264326440 in words is "two hundred sixty-four million, three hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1780 2492 3115 3560 4984 6230 10607 12460 21214 24920 42428 53035 74249 84856 106070 148498 212140 296996 371245 424280 593992 742490 944023 1484980 1888046 2969960 3776092 4720115 6608161 7552184 9440230 13216322 18880460 26432644 33040805 37760920 52865288 66081610 132163220 264326440