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349726580 = 225719912553
BaseRepresentation
bin10100110110000…
…110011101110100
3220101001221200022
4110312012131310
51204012222310
654411504312
711444425010
oct2466063564
9811057608
10349726580
1116a458835
1299158098
13575bb908
1434639540
1520a82a55
hex14d86774

349726580 has 48 divisors (see below), whose sum is σ = 843628800. Its totient is φ = 119294208.

The previous prime is 349726579. The next prime is 349726591. The reversal of 349726580 is 85627943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21584 + ... + 34136.

It is an arithmetic number, because the mean of its divisors is an integer number (17575600).

Almost surely, 2349726580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349726580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421814400).

349726580 is an abundant number, since it is smaller than the sum of its proper divisors (493902220).

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

349726580 is a wasteful number, since it uses less digits than its factorization.

349726580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12768 (or 12766 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 349726580 is about 18700.9780492893. The cubic root of 349726580 is about 704.5463137403.

The spelling of 349726580 in words is "three hundred forty-nine million, seven hundred twenty-six thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 796 995 1393 1990 2786 3980 5572 6965 12553 13930 25106 27860 50212 62765 87871 125530 175742 251060 351484 439355 878710 1757420 2498047 4996094 9992188 12490235 17486329 24980470 34972658 49960940 69945316 87431645 174863290 349726580