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238168464 = 2436477669
BaseRepresentation
bin11100011001000…
…10100110010000
3121121011012201020
432030202212100
5441432342324
635344435440
75621253462
oct1614424620
9547135636
10238168464
11112492546
1267918b80
133a45c2b1
14238ba132
1515d98679
hexe322990

238168464 has 40 divisors (see below), whose sum is σ = 616299840. Its totient is φ = 79256448.

The previous prime is 238168459. The next prime is 238168499. The reversal of 238168464 is 464861832.

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27222 + ... + 34890.

It is an arithmetic number, because the mean of its divisors is an integer number (15407496).

Almost surely, 2238168464 is an apocalyptic number.

238168464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

238168464 is an abundant number, since it is smaller than the sum of its proper divisors (378131376).

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

238168464 is a wasteful number, since it uses less digits than its factorization.

238168464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8327 (or 8321 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 238168464 is about 15432.7076043059. The cubic root of 238168464 is about 619.8616271151.

The spelling of 238168464 in words is "two hundred thirty-eight million, one hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 647 1294 1941 2588 3882 5176 7669 7764 10352 15338 15528 23007 30676 31056 46014 61352 92028 122704 184056 368112 4961843 9923686 14885529 19847372 29771058 39694744 59542116 79389488 119084232 238168464