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349642512 = 24322428073
BaseRepresentation
bin10100110101110…
…001111100010000
3220100220200100200
4110311301330100
51204002030022
654410015200
711443624632
oct2465617420
9810820320
10349642512
1116a40065a
1299117500
135758c57b
1434616a52
1520a67bac
hex14d71f10

349642512 has 30 divisors (see below), whose sum is σ = 978513822. Its totient is φ = 116547456.

The previous prime is 349642493. The next prime is 349642523. The reversal of 349642512 is 215246943.

It is a happy number.

349642512 is a `hidden beast` number, since 3 + 4 + 9 + 642 + 5 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 238887936 + 110754576 = 15456^2 + 10524^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1213893 + ... + 1214180.

Almost surely, 2349642512 is an apocalyptic number.

It is an amenable number.

349642512 is an abundant number, since it is smaller than the sum of its proper divisors (628871310).

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

349642512 is a wasteful number, since it uses less digits than its factorization.

349642512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428087 (or 2428078 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 349642512 is about 18698.7302242692. The cubic root of 349642512 is about 704.4898557820.

The spelling of 349642512 in words is "three hundred forty-nine million, six hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2428073 4856146 7284219 9712292 14568438 19424584 21852657 29136876 38849168 43705314 58273752 87410628 116547504 174821256 349642512