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342707760 = 2435517261
BaseRepresentation
bin10100011011010…
…100111000110000
3212212212100200000
4110123110320300
51200213122020
654001230000
711330652663
oct2433247060
9785770600
10342707760
111664a445a
1296932300
1356001c75
143372d6da
1520148090
hex146d4e30

342707760 has 360 divisors, whose sum is σ = 1288677936. Its totient is φ = 84602880.

The previous prime is 342707737. The next prime is 342707789. The reversal of 342707760 is 67707243.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 5618130 + ... + 5618190.

Almost surely, 2342707760 is an apocalyptic number.

342707760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342707760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644338968).

342707760 is an abundant number, since it is smaller than the sum of its proper divisors (945970176).

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

342707760 is a wasteful number, since it uses less digits than its factorization.

342707760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 342707760 is about 18512.3677577991. The cubic root of 342707760 is about 699.8011407914.

The spelling of 342707760 in words is "three hundred forty-two million, seven hundred seven thousand, seven hundred sixty".