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349971660 = 223251944287
BaseRepresentation
bin10100110111000…
…010010011001100
3220101112101212100
4110313002103030
51204043043120
654421035100
711446465353
oct2467022314
9811471770
10349971660
1116a605985
1299255a90
135767632c
14346a099a
1520ad0490
hex14dc24cc

349971660 has 36 divisors (see below), whose sum is σ = 1061581248. Its totient is φ = 93325728.

The previous prime is 349971637. The next prime is 349971689. The reversal of 349971660 is 66179943.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 971964 + ... + 972323.

It is an arithmetic number, because the mean of its divisors is an integer number (29488368).

Almost surely, 2349971660 is an apocalyptic number.

349971660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349971660 is an abundant number, since it is smaller than the sum of its proper divisors (711609588).

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

349971660 is a wasteful number, since it uses less digits than its factorization.

349971660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944302 (or 1944297 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 349971660 is about 18707.5295001772. The cubic root of 349971660 is about 704.7108516982.

The spelling of 349971660 in words is "three hundred forty-nine million, nine hundred seventy-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1944287 3888574 5832861 7777148 9721435 11665722 17498583 19442870 23331444 29164305 34997166 38885740 58328610 69994332 87492915 116657220 174985830 349971660