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238617264 = 2434971193
BaseRepresentation
bin11100011100100…
…00001010110000
3121122000000100110
432032100022300
5442041223024
635402221320
75625133104
oct1616201260
9548000313
10238617264
11112769756
1267ab4840
133a588662
1423995904
1515e36629
hexe3902b0

238617264 has 20 divisors (see below), whose sum is σ = 616428056. Its totient is φ = 79539072.

The previous prime is 238617259. The next prime is 238617271. The reversal of 238617264 is 462716832.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 2485549 + ... + 2485644.

Almost surely, 2238617264 is an apocalyptic number.

238617264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

238617264 is an abundant number, since it is smaller than the sum of its proper divisors (377810792).

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

238617264 is a wasteful number, since it uses less digits than its factorization.

238617264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971204 (or 4971198 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 238617264 is about 15447.2413071072. The cubic root of 238617264 is about 620.2507345214.

It can be divided in two parts, 23861 and 7264, that added together give a triangular number (31125 = T249).

The spelling of 238617264 in words is "two hundred thirty-eight million, six hundred seventeen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4971193 9942386 14913579 19884772 29827158 39769544 59654316 79539088 119308632 238617264