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346382980 = 22529575857
BaseRepresentation
bin10100101001010…
…110001010000100
3220010210002010021
4110221112022010
51202133223410
654212104524
711404130626
oct2451261204
9803702107
10346382980
11168584729
1298005144
13569baa58
1434008c16
1520621eda
hex14a56284

346382980 has 24 divisors (see below), whose sum is σ = 727774488. Its totient is φ = 138482688.

The previous prime is 346382969. The next prime is 346383019. The reversal of 346382980 is 89283643.

It can be written as a sum of positive squares in 4 ways, for example, as 59351616 + 287031364 = 7704^2 + 16942^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56212 + ... + 62068.

It is an arithmetic number, because the mean of its divisors is an integer number (30323937).

Almost surely, 2346382980 is an apocalyptic number.

It is an amenable number.

346382980 is an abundant number, since it is smaller than the sum of its proper divisors (381391508).

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

346382980 is a wasteful number, since it uses less digits than its factorization.

346382980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8823 (or 8821 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 346382980 is about 18611.3669567821. The cubic root of 346382980 is about 702.2938221285.

The spelling of 346382980 in words is "three hundred forty-six million, three hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 2957 5857 5914 11714 11828 14785 23428 29285 29570 58570 59140 117140 17319149 34638298 69276596 86595745 173191490 346382980