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238838376 = 23373973581
BaseRepresentation
bin11100011110001…
…10001001101000
3121122102020122210
432033012021220
5442120312001
635411045120
75630043540
oct1617061150
9548366583
10238838376
111128aa897
1267ba07a0
133a6351aa
1423a12320
1515e7bdd6
hexe3c6268

238838376 has 64 divisors (see below), whose sum is σ = 684305280. Its totient is φ = 68048640.

The previous prime is 238838339. The next prime is 238838387. The reversal of 238838376 is 673838832.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64906 + ... + 68486.

It is an arithmetic number, because the mean of its divisors is an integer number (10692270).

Almost surely, 2238838376 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 238838376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342152640).

238838376 is an abundant number, since it is smaller than the sum of its proper divisors (445466904).

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

238838376 is a wasteful number, since it uses less digits than its factorization.

238838376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3990 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 238838376 is about 15454.3966559682. The cubic root of 238838376 is about 620.4422581615.

The spelling of 238838376 in words is "two hundred thirty-eight million, eight hundred thirty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 397 794 1191 1588 2382 2779 3176 3581 4764 5558 7162 8337 9528 10743 11116 14324 16674 21486 22232 25067 28648 33348 42972 50134 66696 75201 85944 100268 150402 200536 300804 601608 1421657 2843314 4264971 5686628 8529942 9951599 11373256 17059884 19903198 29854797 34119768 39806396 59709594 79612792 119419188 238838376