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338764032 = 283417312
BaseRepresentation
bin10100001100010…
…010000100000000
3212121102222220000
4110030102010000
51143210422112
653340520000
711252306145
oct2414220400
9777388800
10338764032
11164250482
1295550000
1355250bb9
1432dc43cc
151eb197dc
hex14312100

338764032 has 270 divisors, whose sum is σ = 1105167294. Its totient is φ = 102850560.

The previous prime is 338764031. The next prime is 338764039. The reversal of 338764032 is 230467833.

338764032 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 640 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 318836736 + 19927296 = 17856^2 + 4464^2 .

It is a super-2 number, since 2×3387640322 = 229522138753794048, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (338764031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10927857 + ... + 10927887.

Almost surely, 2338764032 is an apocalyptic number.

338764032 is a gapful number since it is divisible by the number (32) 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 338764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552583647).

338764032 is an abundant number, since it is smaller than the sum of its proper divisors (766403262).

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

338764032 is an equidigital number, since it uses as much as digits as its factorization.

338764032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 338764032 is about 18405.5435127572. The cubic root of 338764032 is about 697.1064446499.

The spelling of 338764032 in words is "three hundred thirty-eight million, seven hundred sixty-four thousand, thirty-two".