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238141344 = 2537354377
BaseRepresentation
bin11100011000110…
…11111110100000
3121121002211111210
432030123332200
5441431010334
635344110120
75621111430
oct1614337640
9547084453
10238141344
11112474131
1267905340
133a44cb4c
14238b02c0
1515d905e9
hexe31bfa0

238141344 has 48 divisors (see below), whose sum is σ = 714426048. Its totient is φ = 68040192.

The previous prime is 238141331. The next prime is 238141369. The reversal of 238141344 is 443141832.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2381413442 = 113422599444252672, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176517 + ... + 177860.

It is an arithmetic number, because the mean of its divisors is an integer number (14883876).

Almost surely, 2238141344 is an apocalyptic number.

238141344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

238141344 is an abundant number, since it is smaller than the sum of its proper divisors (476284704).

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

238141344 is a wasteful number, since it uses less digits than its factorization.

238141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354397 (or 354389 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 238141344 is about 15431.8289259569. The cubic root of 238141344 is about 619.8380985517.

The spelling of 238141344 in words is "two hundred thirty-eight million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 354377 708754 1063131 1417508 2126262 2480639 2835016 4252524 4961278 5670032 7441917 8505048 9922556 11340064 14883834 17010096 19845112 29767668 34020192 39690224 59535336 79380448 119070672 238141344