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349300260 = 223251940557
BaseRepresentation
bin10100110100011…
…110011000100100
3220100021021212200
4110310132120210
51203410102020
654354414500
711441001051
oct2464363044
9810237780
10349300260
1116a197501
1298b91430
135749c85a
1434568028
15209eb590
hex14d1e624

349300260 has 36 divisors (see below), whose sum is σ = 1059544668. Its totient is φ = 93146688.

The previous prime is 349300229. The next prime is 349300283. The reversal of 349300260 is 62003943.

It can be written as a sum of positive squares in 2 ways, for example, as 257025024 + 92275236 = 16032^2 + 9606^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 970099 + ... + 970458.

Almost surely, 2349300260 is an apocalyptic number.

349300260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349300260 is an abundant number, since it is smaller than the sum of its proper divisors (710244408).

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

349300260 is a wasteful number, since it uses less digits than its factorization.

349300260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940572 (or 1940567 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 349300260 is about 18689.5762391767. The cubic root of 349300260 is about 704.2599144668.

The spelling of 349300260 in words is "three hundred forty-nine million, three hundred thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1940557 3881114 5821671 7762228 9702785 11643342 17465013 19405570 23286684 29108355 34930026 38811140 58216710 69860052 87325065 116433420 174650130 349300260