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230047344 = 24333671451
BaseRepresentation
bin11011011011000…
…11111001110000
3121000212121122000
431231203321300
5432343003334
634454414000
75462240652
oct1555437160
9530777560
10230047344
11108945a7a
1265061300
13388779b7
14227a46d2
15152e2299
hexdb63e70

230047344 has 80 divisors (see below), whose sum is σ = 662576640. Its totient is φ = 76420800.

The previous prime is 230047339. The next prime is 230047361. The reversal of 230047344 is 443740032.

230047344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 157819 + ... + 159269.

It is an arithmetic number, because the mean of its divisors is an integer number (8282208).

Almost surely, 2230047344 is an apocalyptic number.

230047344 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 230047344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331288320).

230047344 is an abundant number, since it is smaller than the sum of its proper divisors (432529296).

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

230047344 is a wasteful number, since it uses less digits than its factorization.

230047344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 230047344 is about 15167.3116932435. The cubic root of 230047344 is about 612.7346042284.

Adding to 230047344 its reverse (443740032), we get a palindrome (673787376).

The spelling of 230047344 in words is "two hundred thirty million, forty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 367 432 734 1101 1451 1468 2202 2902 2936 3303 4353 4404 5804 5872 6606 8706 8808 9909 11608 13059 13212 17412 17616 19818 23216 26118 26424 34824 39177 39636 52236 52848 69648 78354 79272 104472 156708 158544 208944 313416 532517 626832 1065034 1597551 2130068 3195102 4260136 4792653 6390204 8520272 9585306 12780408 14377959 19170612 25560816 28755918 38341224 57511836 76682448 115023672 230047344