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264734652 = 223721359587
BaseRepresentation
bin11111100011110…
…00011110111100
3200110010220200010
433301320132330
51020233002102
642134103220
76363131100
oct1761703674
9613126603
10264734652
11126488076
12747aab10
1342b01330
1427233900
1518394d6c
hexfc787bc

264734652 has 144 divisors (see below), whose sum is σ = 788296320. Its totient is φ = 68519808.

The previous prime is 264734651. The next prime is 264734671. The reversal of 264734652 is 256437462.

It is a super-2 number, since 2×2647346522 = 140168871939122208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 264734652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264734651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450703 + ... + 451289.

It is an arithmetic number, because the mean of its divisors is an integer number (5474280).

Almost surely, 2264734652 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 264734652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394148160).

264734652 is an abundant number, since it is smaller than the sum of its proper divisors (523561668).

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

264734652 is a wasteful number, since it uses less digits than its factorization.

264734652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 671 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 264734652 is about 16270.6684558441. The cubic root of 264734652 is about 642.1013708195.

It can be divided in two parts, 26473 and 4652, that added together give a triangular number (31125 = T249).

The spelling of 264734652 in words is "two hundred sixty-four million, seven hundred thirty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 59 78 84 91 98 118 147 156 177 182 196 236 273 294 354 364 413 546 587 588 637 708 767 826 1092 1174 1239 1274 1534 1652 1761 1911 2301 2348 2478 2548 2891 3068 3522 3822 4109 4602 4956 5369 5782 7044 7631 7644 8218 8673 9204 10738 11564 12327 15262 16107 16436 17346 21476 22893 24654 28763 30524 32214 34633 34692 37583 45786 49308 53417 57526 64428 69266 75166 86289 91572 103899 106834 112749 115052 138532 150332 160251 172578 207798 213668 225498 242431 320502 345156 373919 415596 450229 450996 484862 641004 727293 747838 900458 969724 1121757 1350687 1454586 1495676 1697017 1800916 2243514 2701374 2909172 3151603 3394034 4487028 5091051 5402748 6303206 6788068 9454809 10182102 12606412 18909618 20364204 22061221 37819236 44122442 66183663 88244884 132367326 264734652