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340494336 = 21132721329
BaseRepresentation
bin10100010010111…
…000100000000000
3212201200220102100
4110102320200000
51144131304321
653441550400
711303103600
oct2422704000
9781626370
10340494336
11165222486
1296045400
1355708650
1433314c00
151ed5c326
hex144b8800

340494336 has 432 divisors, whose sum is σ = 1274445900. Its totient is φ = 86704128.

The previous prime is 340494289. The next prime is 340494391. The reversal of 340494336 is 633494043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 329204736 + 11289600 = 18144^2 + 3360^2 .

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 340494336.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11741170 + ... + 11741198.

Almost surely, 2340494336 is an apocalyptic number.

340494336 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 340494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637222950).

340494336 is an abundant number, since it is smaller than the sum of its proper divisors (933951564).

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

340494336 is a wasteful number, since it uses less digits than its factorization.

340494336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 340494336 is about 18452.4886126506. The cubic root of 340494336 is about 698.2912991194.

The spelling of 340494336 in words is "three hundred forty million, four hundred ninety-four thousand, three hundred thirty-six".