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349199568 = 24322424997
BaseRepresentation
bin10100110100000…
…101110011010000
3220100002011202100
4110310011303100
51203343341233
654352320400
711440101354
oct2464056320
9810064670
10349199568
1116a128893
1298b43100
1357465a83
143453d464
15209cb813
hex14d05cd0

349199568 has 30 divisors (see below), whose sum is σ = 977274194. Its totient is φ = 116399808.

The previous prime is 349199497. The next prime is 349199573. The reversal of 349199568 is 865991943.

349199568 is a `hidden beast` number, since 3 + 491 + 9 + 95 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 333135504 + 16064064 = 18252^2 + 4008^2 .

It is a congruent number.

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, 1212355 + ... + 1212642.

Almost surely, 2349199568 is an apocalyptic number.

It is an amenable number.

349199568 is an abundant number, since it is smaller than the sum of its proper divisors (628074626).

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

349199568 is a wasteful number, since it uses less digits than its factorization.

349199568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425011 (or 2425002 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 349199568 is about 18686.8822439700. The cubic root of 349199568 is about 704.1922361563.

The spelling of 349199568 in words is "three hundred forty-nine million, one hundred ninety-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2424997 4849994 7274991 9699988 14549982 19399976 21824973 29099964 38799952 43649946 58199928 87299892 116399856 174599784 349199568