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338960232 = 233213362137
BaseRepresentation
bin10100001101000…
…001111101101000
3212121210222000200
4110031001331220
51143233211412
653345032200
711254054152
oct2415017550
9777728020
10338960232
11164374926
1295625660
13552bc2b0
1433035ad2
151eb579dc
hex14341f68

338960232 has 48 divisors (see below), whose sum is σ = 988636740. Its totient is φ = 104295168.

The previous prime is 338960227. The next prime is 338960233. The reversal of 338960232 is 232069833.

338960232 is a `hidden beast` number, since 338 + 96 + 0 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 336869316 + 2090916 = 18354^2 + 1446^2 .

It is a super-2 number, since 2×3389602322 = 229788077754987648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338960233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180133 + ... + 182004.

Almost surely, 2338960232 is an apocalyptic number.

It is an amenable number.

338960232 is an abundant number, since it is smaller than the sum of its proper divisors (649676508).

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

338960232 is a wasteful number, since it uses less digits than its factorization.

338960232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362162 (or 362155 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 338960232 is about 18410.8726572099. The cubic root of 338960232 is about 697.2409983761.

The spelling of 338960232 in words is "three hundred thirty-eight million, nine hundred sixty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 362137 724274 1086411 1448548 2172822 2897096 3259233 4345644 4707781 6518466 8691288 9415562 13036932 14123343 18831124 26073864 28246686 37662248 42370029 56493372 84740058 112986744 169480116 338960232