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352034316 = 223319316889
BaseRepresentation
bin10100111110111…
…001111000001100
3220112102012022000
4110332321320030
51210110044231
654533152300
711503146054
oct2476717014
9815365260
10352034316
11170794657
1299a8b690
1357c1913a
1434a7a564
1520d8b6e6
hex14fb9e0c

352034316 has 48 divisors (see below), whose sum is σ = 917464800. Its totient is φ = 116729856.

The previous prime is 352034279. The next prime is 352034339. The reversal of 352034316 is 613430253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 352034316.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12400 + ... + 29288.

It is an arithmetic number, because the mean of its divisors is an integer number (19113850).

Almost surely, 2352034316 is an apocalyptic number.

352034316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352034316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458732400).

352034316 is an abundant number, since it is smaller than the sum of its proper divisors (565430484).

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

352034316 is a wasteful number, since it uses less digits than its factorization.

352034316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17095 (or 17087 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 352034316 is about 18762.5775414787. The cubic root of 352034316 is about 706.0926109093.

Adding to 352034316 its reverse (613430253), we get a palindrome (965464569).

The spelling of 352034316 in words is "three hundred fifty-two million, thirty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 193 386 579 772 1158 1737 2316 3474 5211 6948 10422 16889 20844 33778 50667 67556 101334 152001 202668 304002 456003 608004 912006 1824012 3259577 6519154 9778731 13038308 19557462 29336193 39114924 58672386 88008579 117344772 176017158 352034316