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335394048 = 2831129372
BaseRepresentation
bin10011111111011…
…011010100000000
3212101002210010210
4103333123110000
51141330102143
653140354120
711211542133
oct2377332400
9771083123
10335394048
11162359570
12943a5940
1354641022
143278821a
151e6a1033
hex13fdb500

335394048 has 216 divisors, whose sum is σ = 1035326880. Its totient is φ = 95477760.

The previous prime is 335394041. The next prime is 335394067. The reversal of 335394048 is 840493533.

It is a super-2 number, since 2×3353940482 = 224978334867652608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335393997 and 335394015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335394041) 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, 9064686 + ... + 9064722.

It is an arithmetic number, because the mean of its divisors is an integer number (4793180).

Almost surely, 2335394048 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 335394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517663440).

335394048 is an abundant number, since it is smaller than the sum of its proper divisors (699932832).

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

335394048 is a wasteful number, since it uses less digits than its factorization.

335394048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 335394048 is about 18313.7666251375. The cubic root of 335394048 is about 694.7871597793.

The spelling of 335394048 in words is "three hundred thirty-five million, three hundred ninety-four thousand, forty-eight".