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264001332 = 223731101383
BaseRepresentation
bin11111011110001…
…01011100110100
3200101202122202010
433233011130310
51020041020312
642110244220
76353655120
oct1757053464
9611678663
10264001332
11126027121
12744b6670
134290560a
14270c2580
151829c93c
hexfbc5734

264001332 has 48 divisors (see below), whose sum is σ = 726720512. Its totient is φ = 72995040.

The previous prime is 264001289. The next prime is 264001393. The reversal of 264001332 is 233100462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

264001332 is a modest number, since divided by 1332 gives 264 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 264001299 and 264001308.

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, 48088 + ... + 53295.

Almost surely, 2264001332 is an apocalyptic number.

It is an amenable number.

264001332 is an abundant number, since it is smaller than the sum of its proper divisors (462719180).

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

264001332 is a wasteful number, since it uses less digits than its factorization.

264001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101428 (or 101426 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 264001332 is about 16248.1177986867. The cubic root of 264001332 is about 641.5079448953.

Adding to 264001332 its reverse (233100462), we get a palindrome (497101794).

The spelling of 264001332 in words is "two hundred sixty-four million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 101383 202766 304149 405532 608298 709681 1216596 1419362 2129043 2838724 3142873 4258086 6285746 8516172 9428619 12571492 18857238 22000111 37714476 44000222 66000333 88000444 132000666 264001332