Search a number
-
+
339905664 = 2732761691
BaseRepresentation
bin10100010000101…
…000110010000000
3212200120222220200
4110100220302000
51144003440124
653421205200
711265102420
oct2420506200
9780528820
10339905664
1116496017a
1295a00800
1355560717
1433200480
151ec92bc9
hex14428c80

339905664 has 192 divisors, whose sum is σ = 1137814080. Its totient is φ = 95385600.

The previous prime is 339905663. The next prime is 339905689. The reversal of 339905664 is 466509933.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339905663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491559 + ... + 492249.

It is an arithmetic number, because the mean of its divisors is an integer number (5926115).

Almost surely, 2339905664 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 339905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568907040).

339905664 is an abundant number, since it is smaller than the sum of its proper divisors (797908416).

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

339905664 is a wasteful number, since it uses less digits than its factorization.

339905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 339905664 is about 18436.5306931646. The cubic root of 339905664 is about 697.8886476282. Note that the first 3 decimals are identical.

The spelling of 339905664 in words is "three hundred thirty-nine million, nine hundred five thousand, six hundred sixty-four".