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343465056 = 25331171509
BaseRepresentation
bin10100011110001…
…101110001100000
3212221021211111000
4110132031301200
51200411340211
654025352000
711340255564
oct2436156140
9787254430
10343465056
11166971420
1297038600
135620887c
14338896a4
1520247656
hex1478dc60

343465056 has 192 divisors, whose sum is σ = 1110412800. Its totient is φ = 102412800.

The previous prime is 343465013. The next prime is 343465081. The reversal of 343465056 is 650564343.

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

It is a self number, because there is not a number n which added to its sum of digits gives 343465056.

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 31 ways as a sum of consecutive naturals, for example, 674530 + ... + 675038.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2343465056 is an apocalyptic number.

343465056 is a gapful number since it is divisible by the number (36) 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 343465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555206400).

343465056 is an abundant number, since it is smaller than the sum of its proper divisors (766947744).

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

343465056 is a wasteful number, since it uses less digits than its factorization.

343465056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 343465056 is about 18532.8102564074. The cubic root of 343465056 is about 700.3162217526.

The spelling of 343465056 in words is "three hundred forty-three million, four hundred sixty-five thousand, fifty-six".