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352303252 = 227292711601
BaseRepresentation
bin10100111111111…
…011100010010100
3220112220212012121
4110333323202110
51210142201002
654543025324
711505346120
oct2477734224
9815825177
10352303252
11170958714
1299b9b244
1357cb1682
1434b0a580
1520de1237
hex14ffb894

352303252 has 48 divisors (see below), whose sum is σ = 732049920. Its totient is φ = 145152000.

The previous prime is 352303247. The next prime is 352303261. The reversal of 352303252 is 252303253.

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, 219252 + ... + 220852.

It is an arithmetic number, because the mean of its divisors is an integer number (15251040).

Almost surely, 2352303252 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 352303252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366024960).

352303252 is an abundant number, since it is smaller than the sum of its proper divisors (379746668).

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

352303252 is a wasteful number, since it uses less digits than its factorization.

352303252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The square root of 352303252 is about 18769.7429923801. The cubic root of 352303252 is about 706.2723712129.

Subtracting from 352303252 its reverse (252303253), we obtain a palindrome (99999999).

The spelling of 352303252 in words is "three hundred fifty-two million, three hundred three thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 271 406 542 812 1084 1601 1897 3202 3794 6404 7588 7859 11207 15718 22414 31436 44828 46429 55013 92858 110026 185716 220052 325003 433871 650006 867742 1300012 1735484 3037097 6074194 12148388 12582259 25164518 50329036 88075813 176151626 352303252