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296309052 = 2232132113431
BaseRepresentation
bin10001101010010…
…101000100111100
3202122120001121100
4101222111010330
51101323342202
645222533100
710225404534
oct2152250474
9678501540
10296309052
11142293416
1283297190
1349507b00
142b4d24c4
151b03041c
hex11a9513c

296309052 has 108 divisors (see below), whose sum is σ = 820126944. Its totient is φ = 90155520.

The previous prime is 296309051. The next prime is 296309063. The reversal of 296309052 is 250903692.

296309052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 296308998 and 296309016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296309051) 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 35 ways as a sum of consecutive naturals, for example, 687277 + ... + 687707.

It is an arithmetic number, because the mean of its divisors is an integer number (7593768).

Almost surely, 2296309052 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 296309052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410063472).

296309052 is an abundant number, since it is smaller than the sum of its proper divisors (523817892).

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

296309052 is a wasteful number, since it uses less digits than its factorization.

296309052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 296309052 is about 17213.6298321998. The cubic root of 296309052 is about 666.6762333072.

The spelling of 296309052 in words is "two hundred ninety-six million, three hundred nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 169 226 234 338 339 431 452 468 507 676 678 862 1014 1017 1293 1356 1469 1521 1724 2028 2034 2586 2938 3042 3879 4068 4407 5172 5603 5876 6084 7758 8814 11206 13221 15516 16809 17628 19097 22412 26442 33618 38194 48703 50427 52884 57291 67236 72839 76388 97406 100854 114582 145678 146109 171873 194812 201708 218517 229164 291356 292218 343746 437034 438327 584436 633139 655551 687492 874068 876654 1266278 1311102 1753308 1899417 2532556 2622204 3798834 5698251 7597668 8230807 11396502 16461614 22793004 24692421 32923228 49384842 74077263 98769684 148154526 296309052