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338233860 = 2233523113241
BaseRepresentation
bin10100001010010…
…000101000000100
3212120110001122000
4110022100220010
51143041440420
653321305300
711244640356
oct2412205004
9776401560
10338233860
11163a19118
1295335230
13550c67a3
1432cc70d6
151ea62690
hex14290a04

338233860 has 192 divisors, whose sum is σ = 1112348160. Its totient is φ = 85155840.

The previous prime is 338233849. The next prime is 338233879. The reversal of 338233860 is 68332833.

It is a super-2 number, since 2×3382338602 = 228804288100999200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1403340 + ... + 1403580.

It is an arithmetic number, because the mean of its divisors is an integer number (5793480).

Almost surely, 2338233860 is an apocalyptic number.

338233860 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 338233860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556174080).

338233860 is an abundant number, since it is smaller than the sum of its proper divisors (774114300).

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

338233860 is a wasteful number, since it uses less digits than its factorization.

338233860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 338233860 is about 18391.1353646261. The cubic root of 338233860 is about 696.7425932627.

The spelling of 338233860 in words is "three hundred thirty-eight million, two hundred thirty-three thousand, eight hundred sixty".