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352033052 = 22724171617
BaseRepresentation
bin10100111110111…
…001100100011100
3220112102010120012
4110332321210130
51210110024202
654533142352
711503142300
oct2476714434
9815363505
10352033052
11170793708
1299a8a9b8
1357c186a7
1434a79d00
1520d8b152
hex14fb991c

352033052 has 72 divisors (see below), whose sum is σ = 745663968. Its totient is φ = 144883200.

The previous prime is 352032997. The next prime is 352033067. The reversal of 352033052 is 250330253.

352033052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570248 + ... + 570864.

It is an arithmetic number, because the mean of its divisors is an integer number (10356444).

Almost surely, 2352033052 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 352033052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372831984).

352033052 is an abundant number, since it is smaller than the sum of its proper divisors (393630916).

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

352033052 is a wasteful number, since it uses less digits than its factorization.

352033052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 23.

The square root of 352033052 is about 18762.5438573771. The cubic root of 352033052 is about 706.0917658192.

The spelling of 352033052 in words is "three hundred fifty-two million, thirty-three thousand, fifty-two".

Divisors: 1 2 4 7 14 28 41 49 71 82 98 142 164 196 284 287 497 574 617 994 1148 1234 1988 2009 2468 2911 3479 4018 4319 5822 6958 8036 8638 11644 13916 17276 20377 25297 30233 40754 43807 50594 60466 81508 87614 101188 120932 142639 175228 177079 285278 306649 354158 570556 613298 708316 1226596 1239553 1796087 2146543 2479106 3592174 4293086 4958212 7184348 8586172 12572609 25145218 50290436 88008263 176016526 352033052