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230760376 = 237111033637
BaseRepresentation
bin11011100000100…
…01111110111000
3121002012211201121
431300101332320
5433033313001
634521555024
75501300530
oct1560217670
9532184647
10230760376
11109292760
1265345a74
1338a67402
142290c4c0
15153d36a1
hexdc11fb8

230760376 has 64 divisors (see below), whose sum is σ = 544826880. Its totient is φ = 89009280.

The previous prime is 230760367. The next prime is 230760421. The reversal of 230760376 is 673067032.

It is a happy number.

It is a super-2 number, since 2×2307603762 = 106500702263322752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61630 + ... + 65266.

It is an arithmetic number, because the mean of its divisors is an integer number (8512920).

Almost surely, 2230760376 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 230760376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272413440).

230760376 is an abundant number, since it is smaller than the sum of its proper divisors (314066504).

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

230760376 is a wasteful number, since it uses less digits than its factorization.

230760376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 34.

The square root of 230760376 is about 15190.7990573241. The cubic root of 230760376 is about 613.3670084955.

The spelling of 230760376 in words is "two hundred thirty million, seven hundred sixty thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 103 154 206 308 412 616 721 824 1133 1442 2266 2884 3637 4532 5768 7274 7931 9064 14548 15862 25459 29096 31724 40007 50918 63448 80014 101836 160028 203672 280049 320056 374611 560098 749222 1120196 1498444 2240392 2622277 2996888 4120721 5244554 8241442 10489108 16482884 20978216 28845047 32965768 57690094 115380188 230760376