Search a number
-
+
332936064 = 27323773107
BaseRepresentation
bin10011110110000…
…011001110000000
3212012110220102100
4103312003032000
51140212423224
653011550400
711151624036
oct2366031600
9765426370
10332936064
11160a2a87a
12935bb400
1353c902b6
1432308556
151e367ac9
hex13d83380

332936064 has 192 divisors, whose sum is σ = 1006752240. Its totient is φ = 105504768.

The previous prime is 332936059. The next prime is 332936083. The reversal of 332936064 is 460639233.

332936064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3329360642 = 221692845423624192, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3111499 + ... + 3111605.

Almost surely, 2332936064 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 332936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503376120).

332936064 is an abundant number, since it is smaller than the sum of its proper divisors (673816176).

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

332936064 is a wasteful number, since it uses less digits than its factorization.

332936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 332936064 is about 18246.5356711898. The cubic root of 332936064 is about 693.0857136786.

It can be divided in two parts, 3329 and 36064, that added together give a palindrome (39393).

The spelling of 332936064 in words is "three hundred thirty-two million, nine hundred thirty-six thousand, sixty-four".