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352297072 = 24232107389
BaseRepresentation
bin10100111111111…
…010000001110000
3220112220112201201
4110333322001300
51210142001242
654542540544
711505322111
oct2477720160
9815815651
10352297072
11170954006
1299b97754
1357cab90a
1434b08208
1520dde4b7
hex14ffa070

352297072 has 60 divisors (see below), whose sum is σ = 722063160. Its totient is φ = 166486144.

The previous prime is 352297067. The next prime is 352297073. The reversal of 352297072 is 270792253.

It is a super-2 number, since 2×3522970722 = 248226453879546368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352297073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 905454 + ... + 905842.

It is an arithmetic number, because the mean of its divisors is an integer number (12034386).

Almost surely, 2352297072 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 352297072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361031580).

352297072 is an abundant number, since it is smaller than the sum of its proper divisors (369766088).

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

352297072 is a wasteful number, since it uses less digits than its factorization.

352297072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 352297072 is about 18769.5783650033. The cubic root of 352297072 is about 706.2682414481.

The spelling of 352297072 in words is "three hundred fifty-two million, two hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 23 46 92 107 184 214 368 389 428 529 778 856 1058 1556 1712 2116 2461 3112 4232 4922 6224 8464 8947 9844 17894 19688 35788 39376 41623 56603 71576 83246 113206 143152 166492 205781 226412 332984 411562 452824 665968 823124 905648 957329 1646248 1914658 3292496 3829316 7658632 15317264 22018567 44037134 88074268 176148536 352297072