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264322032 = 24313439851
BaseRepresentation
bin11111100000100…
…11101111110000
3200102100221122220
433300103233300
51020131301112
642121201040
76356462112
oct1760235760
9612327586
10264322032
11126226067
1274630180
13429b8590
14271673b2
151831298c
hexfc13bf0

264322032 has 80 divisors (see below), whose sum is σ = 752535168. Its totient is φ = 79430400.

The previous prime is 264321997. The next prime is 264322033. The reversal of 264322032 is 230223462.

It is a happy number.

It is a super-2 number, since 2×2643220322 = 139732273201218048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 264321993 and 264322011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264322033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21907 + ... + 31757.

Almost surely, 2264322032 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 264322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376267584).

264322032 is an abundant number, since it is smaller than the sum of its proper divisors (488213136).

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

264322032 is a wasteful number, since it uses less digits than its factorization.

264322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918 (or 9912 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 264322032 is about 16257.9836388157. The cubic root of 264322032 is about 641.7676005913.

Adding to 264322032 its reverse (230223462), we get a palindrome (494545494).

The spelling of 264322032 in words is "two hundred sixty-four million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 2064 2236 3354 4472 6708 8944 9851 13416 19702 26832 29553 39404 59106 78808 118212 128063 157616 236424 256126 384189 423593 472848 512252 768378 847186 1024504 1270779 1536756 1694372 2049008 2541558 3073512 3388744 5083116 5506709 6147024 6777488 10166232 11013418 16520127 20332464 22026836 33040254 44053672 66080508 88107344 132161016 264322032