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338575230 = 2325717101313
BaseRepresentation
bin10100001011100…
…011111101111110
3212121002101220100
4110023203331332
51143133401410
653332501530
711250561540
oct2413437576
9777071810
10338575230
11164131644
129547a8a6
13551b5c96
1432d75690
151eacd8c0
hex142e3f7e

338575230 has 192 divisors, whose sum is σ = 1079215488. Its totient is φ = 71884800.

The previous prime is 338575229. The next prime is 338575243. The reversal of 338575230 is 32575833.

338575230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3385752302 = 229266372739105800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1081554 + ... + 1081866.

It is an arithmetic number, because the mean of its divisors is an integer number (5620914).

Almost surely, 2338575230 is an apocalyptic number.

338575230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338575230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539607744).

338575230 is an abundant number, since it is smaller than the sum of its proper divisors (740640258).

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

338575230 is a wasteful number, since it uses less digits than its factorization.

338575230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 338575230 is about 18400.4138540414. The cubic root of 338575230 is about 696.9769154035.

The spelling of 338575230 in words is "three hundred thirty-eight million, five hundred seventy-five thousand, two hundred thirty".