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349084780 = 225114213769
BaseRepresentation
bin10100110011101…
…001110001101100
3220022212100021221
4110303221301230
51203331203110
654350033124
711436112612
oct2463516154
9808770257
10349084780
1116a05a620
1298aa87a4
1357425755
143450d6b2
15209a77da
hex14ce9c6c

349084780 has 48 divisors (see below), whose sum is σ = 801833760. Its totient is φ = 126604800.

The previous prime is 349084753. The next prime is 349084787. The reversal of 349084780 is 87480943.

It is a Smith number, since the sum of its digits (43) 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 (349084787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90736 + ... + 94504.

It is an arithmetic number, because the mean of its divisors is an integer number (16704870).

Almost surely, 2349084780 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 349084780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400916880).

349084780 is an abundant number, since it is smaller than the sum of its proper divisors (452748980).

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

349084780 is a wasteful number, since it uses less digits than its factorization.

349084780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 349084780 is about 18683.8106391603. The cubic root of 349084780 is about 704.1150676024.

The spelling of 349084780 in words is "three hundred forty-nine million, eighty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 421 842 1684 2105 3769 4210 4631 7538 8420 9262 15076 18524 18845 23155 37690 41459 46310 75380 82918 92620 165836 207295 414590 829180 1586749 3173498 6346996 7933745 15867490 17454239 31734980 34908478 69816956 87271195 174542390 349084780