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352970112 = 2731183563
BaseRepresentation
bin10101000010011…
…110010110000000
3220121011201222010
4111002132112000
51210330020422
655005212520
711514124245
oct2502362600
9817151863
10352970112
11171273740
129a261140
1358186071
1434c415cc
1520ec3b0c
hex1509e580

352970112 has 64 divisors (see below), whose sum is σ = 1022823360. Its totient is φ = 106959360.

The previous prime is 352970017. The next prime is 352970117. The reversal of 352970112 is 211079253.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 352970112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352970117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37558 + ... + 46005.

It is an arithmetic number, because the mean of its divisors is an integer number (15981615).

Almost surely, 2352970112 is an apocalyptic number.

352970112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

352970112 is an abundant number, since it is smaller than the sum of its proper divisors (669853248).

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

352970112 is a wasteful number, since it uses less digits than its factorization.

352970112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83591 (or 83579 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 352970112 is about 18787.4988223553. The cubic root of 352970112 is about 706.7177147570.

The spelling of 352970112 in words is "three hundred fifty-two million, nine hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 83563 167126 250689 334252 501378 668504 919193 1002756 1337008 1838386 2005512 2674016 2757579 3676772 4011024 5348032 5515158 7353544 8022048 10696064 11030316 14707088 16044096 22060632 29414176 32088192 44121264 58828352 88242528 117656704 176485056 352970112