Search a number
-
+
342585960 = 2335193137131
BaseRepresentation
bin10100011010110…
…111001001101000
3212212122011120220
4110122313021220
51200200222320
653554450040
711326634613
oct2432671150
9785564526
10342585960
111664209a2
1296893920
1355c8b6b2
14336db17a
1520121e40
hex146b7268

342585960 has 256 divisors, whose sum is σ = 1155686400. Its totient is φ = 80870400.

The previous prime is 342585959. The next prime is 342585977. The reversal of 342585960 is 69585243.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2615095 + ... + 2615225.

It is an arithmetic number, because the mean of its divisors is an integer number (4514400).

Almost surely, 2342585960 is an apocalyptic number.

342585960 is a gapful number since it is divisible by the number (30) 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 342585960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577843200).

342585960 is an abundant number, since it is smaller than the sum of its proper divisors (813100440).

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

342585960 is a wasteful number, since it uses less digits than its factorization.

342585960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 342585960 is about 18509.0777728119. The cubic root of 342585960 is about 699.7182267282.

The spelling of 342585960 in words is "three hundred forty-two million, five hundred eighty-five thousand, nine hundred sixty".