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340516368 = 24324015897
BaseRepresentation
bin10100010010111…
…101111000010000
3212201202000122100
4110102331320100
51144133010433
653442240400
711303225043
oct2422757020
9781660570
10340516368
11165237a95
1296056100
135571569a
143331cc5a
151ed63b13
hex144bde10

340516368 has 60 divisors (see below), whose sum is σ = 955511388. Its totient is φ = 113203200.

The previous prime is 340516367. The next prime is 340516373. The reversal of 340516368 is 863615043.

It can be written as a sum of positive squares in 2 ways, for example, as 327899664 + 12616704 = 18108^2 + 3552^2 .

It is a super-2 number, since 2×3405163682 = 231902793751822848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (340516367) by changing a digit.

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, 54796 + ... + 60692.

Almost surely, 2340516368 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 340516368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477755694).

340516368 is an abundant number, since it is smaller than the sum of its proper divisors (614995020).

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

340516368 is a wasteful number, since it uses less digits than its factorization.

340516368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 340516368 is about 18453.0855956396. The cubic root of 340516368 is about 698.3063599887.

The spelling of 340516368 in words is "three hundred forty million, five hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 401 802 1203 1604 2406 3208 3609 4812 5897 6416 7218 9624 11794 14436 17691 19248 23588 28872 35382 47176 53073 57744 70764 94352 106146 141528 212292 283056 424584 849168 2364697 4729394 7094091 9458788 14188182 18917576 21282273 28376364 37835152 42564546 56752728 85129092 113505456 170258184 340516368