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349040760 = 23352908673
BaseRepresentation
bin10100110011011…
…111000001111000
3220022210002220120
4110303133001320
51203323301020
654345053240
711435540355
oct2463370170
9808702816
10349040760
1116a02a542
1298a87220
135740b6c3
14344db62c
1520999740
hex14cdf078

349040760 has 32 divisors (see below), whose sum is σ = 1047122640. Its totient is φ = 93077504.

The previous prime is 349040743. The next prime is 349040771. The reversal of 349040760 is 67040943.

It is a super-3 number, since 3×3490407603 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1454217 + ... + 1454456.

Almost surely, 2349040760 is an apocalyptic number.

349040760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349040760 is an abundant number, since it is smaller than the sum of its proper divisors (698081880).

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

349040760 is a wasteful number, since it uses less digits than its factorization.

349040760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908687 (or 2908683 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 349040760 is about 18682.6325768078. The cubic root of 349040760 is about 704.0854697797.

The spelling of 349040760 in words is "three hundred forty-nine million, forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2908673 5817346 8726019 11634692 14543365 17452038 23269384 29086730 34904076 43630095 58173460 69808152 87260190 116346920 174520380 349040760