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349628112 = 24324751659
BaseRepresentation
bin10100110101101…
…110011011010000
3220100212221121100
4110311232123100
51204001044422
654405424400
711443534641
oct2465563320
9810787540
10349628112
1116a3a0859
129910b100
1357585b52
14346116c8
1520a637ac
hex14d6e6d0

349628112 has 60 divisors (see below), whose sum is σ = 999311040. Its totient is φ = 114060864.

The previous prime is 349628093. The next prime is 349628117. The reversal of 349628112 is 211826943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349628117) 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, 19062 + ... + 32597.

It is an arithmetic number, because the mean of its divisors is an integer number (16655184).

Almost surely, 2349628112 is an apocalyptic number.

It is an amenable number.

349628112 is an abundant number, since it is smaller than the sum of its proper divisors (649682928).

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

349628112 is a wasteful number, since it uses less digits than its factorization.

349628112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51720 (or 51711 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 349628112 is about 18698.3451674206. The cubic root of 349628112 is about 704.4801841957.

The spelling of 349628112 in words is "three hundred forty-nine million, six hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 51659 103318 154977 206636 309954 413272 464931 619908 826544 929862 1239816 1859724 2427973 2479632 3719448 4855946 7283919 7438896 9711892 14567838 19423784 21851757 29135676 38847568 43703514 58271352 87407028 116542704 174814056 349628112