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230374638 = 233131073067
BaseRepresentation
bin11011011101100…
…11110011101110
3121001111020121000
431232303303232
5432433442023
634505421130
75465103114
oct1556636356
9531436530
10230374638
1110904996a
126519a7a6
1338960970
142284bab4
1515359243
hexdbb3cee

230374638 has 64 divisors (see below), whose sum is σ = 556657920. Its totient is φ = 70199136.

The previous prime is 230374597. The next prime is 230374649. The reversal of 230374638 is 836473032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73581 + ... + 76647.

It is an arithmetic number, because the mean of its divisors is an integer number (8697780).

Almost surely, 2230374638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230374638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278328960).

230374638 is an abundant number, since it is smaller than the sum of its proper divisors (326283282).

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

230374638 is a wasteful number, since it uses less digits than its factorization.

230374638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 230374638 is about 15178.0973115869. The cubic root of 230374638 is about 613.0250507146.

The spelling of 230374638 in words is "two hundred thirty million, three hundred seventy-four thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 107 117 214 234 321 351 642 702 963 1391 1926 2782 2889 3067 4173 5778 6134 8346 9201 12519 18402 25038 27603 37557 39871 55206 75114 79742 82809 119613 165618 239226 328169 358839 656338 717678 984507 1076517 1969014 2153034 2953521 4266197 5907042 8532394 8860563 12798591 17721126 25597182 38395773 76791546 115187319 230374638