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238329364 = 227133121121
BaseRepresentation
bin11100011010010…
…01111000010100
3121121110101102111
432031021320110
5442003014424
635352120404
75622523540
oct1615117024
9547411374
10238329364
11112592419
1267996104
133a4b75c0
142391ca20
1515dcb194
hexe349e14

238329364 has 48 divisors (see below), whose sum is σ = 529908736. Its totient is φ = 91238400.

The previous prime is 238329361. The next prime is 238329367. The reversal of 238329364 is 463923832.

It is an interprime number because it is at equal distance from previous prime (238329361) and next prime (238329367).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238329361) 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 15 ways as a sum of consecutive naturals, for example, 724 + ... + 21844.

Almost surely, 2238329364 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 238329364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264954368).

238329364 is an abundant number, since it is smaller than the sum of its proper divisors (291579372).

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

238329364 is a wasteful number, since it uses less digits than its factorization.

238329364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21176 (or 21174 counting only the distinct ones).

The product of its digits is 186624, while the sum is 40.

The square root of 238329364 is about 15437.9196785059. The cubic root of 238329364 is about 620.0011827934.

The spelling of 238329364 in words is "two hundred thirty-eight million, three hundred twenty-nine thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 5642 11284 21121 42242 84484 147847 274573 295694 549146 591388 654751 1098292 1309502 1922011 2619004 3844022 4583257 7688044 8511763 9166514 17023526 18333028 34047052 59582341 119164682 238329364