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349021512 = 23327298929
BaseRepresentation
bin10100110011011…
…010010101001000
3220022202010111200
4110303122111020
51203322142022
654344424200
711435430300
oct2463322510
9808663450
10349021512
1116a017034
1298a78060
1357402a08
14344d4600
1520993bac
hex14cda548

349021512 has 72 divisors (see below), whose sum is σ = 1099606950. Its totient is φ = 99719424.

The previous prime is 349021501. The next prime is 349021531. The reversal of 349021512 is 215120943.

It can be written as a sum of positive squares in only one way, i.e., 336869316 + 12152196 = 18354^2 + 3486^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3490215122 = 243632031677532288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45937 + ... + 52992.

Almost surely, 2349021512 is an apocalyptic number.

It is an amenable number.

349021512 is an abundant number, since it is smaller than the sum of its proper divisors (750585438).

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

349021512 is a wasteful number, since it uses less digits than its factorization.

349021512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98955 (or 98941 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 349021512 is about 18682.1174388772. The cubic root of 349021512 is about 704.0725271784.

The spelling of 349021512 in words is "three hundred forty-nine million, twenty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 98929 197858 296787 395716 593574 692503 791432 890361 1187148 1385006 1780722 2077509 2374296 2770012 3561444 4155018 4847521 5540024 6232527 7122888 8310036 9695042 12465054 14542563 16620072 19390084 24930108 29085126 38780168 43627689 49860216 58170252 87255378 116340504 174510756 349021512