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230736384 = 293316691
BaseRepresentation
bin11011100000011…
…00001000000000
3121002011121211000
431300030020000
5433032031014
634521252000
75501140554
oct1560141000
9532147730
10230736384
1110927672a
1265334000
1338a59508
1422903864
15153cb509
hexdc0c200

230736384 has 80 divisors (see below), whose sum is σ = 683036640. Its totient is φ = 76907520.

The previous prime is 230736349. The next prime is 230736413. The reversal of 230736384 is 483637032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5479 + ... + 22169.

It is an arithmetic number, because the mean of its divisors is an integer number (8537958).

Almost surely, 2230736384 is an apocalyptic number.

230736384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230736384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341518320).

230736384 is an abundant number, since it is smaller than the sum of its proper divisors (452300256).

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

230736384 is an equidigital number, since it uses as much as digits as its factorization.

230736384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16718 (or 16696 counting only the distinct ones).

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

The square root of 230736384 is about 15190.0093482526. The cubic root of 230736384 is about 613.3457506413.

The spelling of 230736384 in words is "two hundred thirty million, seven hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 16691 33382 50073 66764 100146 133528 150219 200292 267056 300438 400584 450657 534112 600876 801168 901314 1068224 1201752 1602336 1802628 2136448 2403504 3204672 3605256 4272896 4807008 6409344 7210512 8545792 9614016 12818688 14421024 19228032 25637376 28842048 38456064 57684096 76912128 115368192 230736384