Search a number
-
+
6234672384 = 2835315361
BaseRepresentation
bin1011100111001110…
…11000110100000000
3121002111122011200000
411303213120310000
5100232034004014
62510354400000
7310333561263
oct56347306400
917074564600
106234672384
11270a345706
12125bb90000
137848a2975
14432058cda
15267540509
hex1739d8d00

6234672384 has 432 divisors, whose sum is σ = 19927724544. Its totient is φ = 1940889600.

The previous prime is 6234672319. The next prime is 6234672391. The reversal of 6234672384 is 4832764326.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×62346723842 = 77742279471624486912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102207714 + ... + 102207774.

It is an arithmetic number, because the mean of its divisors is an integer number (46128992).

Almost surely, 26234672384 is an apocalyptic number.

6234672384 is a gapful number since it is divisible by the number (64) 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 6234672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963862272).

6234672384 is an abundant number, since it is smaller than the sum of its proper divisors (13693052160).

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

6234672384 is an equidigital number, since it uses as much as digits as its factorization.

6234672384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 6234672384 is about 78959.9416413158. The cubic root of 6234672384 is about 1840.5087188210.

The spelling of 6234672384 in words is "six billion, two hundred thirty-four million, six hundred seventy-two thousand, three hundred eighty-four".