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349056160 = 2552181601
BaseRepresentation
bin10100110011100…
…010110010100000
3220022210220000221
4110303202302200
51203324244120
654345252424
711435633305
oct2463426240
9808726027
10349056160
1116a040072
1298a94114
135741570b
14345030ac
152099e0aa
hex14ce2ca0

349056160 has 24 divisors (see below), whose sum is σ = 824645556. Its totient is φ = 139622400.

The previous prime is 349056157. The next prime is 349056167. The reversal of 349056160 is 61650943.

It can be written as a sum of positive squares in 2 ways, for example, as 321556624 + 27499536 = 17932^2 + 5244^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (349056167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1090641 + ... + 1090960.

Almost surely, 2349056160 is an apocalyptic number.

It is an amenable number.

349056160 is an abundant number, since it is smaller than the sum of its proper divisors (475589396).

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

349056160 is a wasteful number, since it uses less digits than its factorization.

349056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181616 (or 2181608 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 349056160 is about 18683.0447197452. The cubic root of 349056160 is about 704.0958245940.

The spelling of 349056160 in words is "three hundred forty-nine million, fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2181601 4363202 8726404 10908005 17452808 21816010 34905616 43632020 69811232 87264040 174528080 349056160