Search a number
-
+
4313793024 = 2934414359
BaseRepresentation
bin1000000010001111…
…10100001000000000
3102010122011101120000
410001013310020000
532313312334044
61552015320000
7211620431022
oct40107641000
912118141500
104313793024
111914029602
12a04820000
1353993b668
142cccb8012
151a3aaad69
hex1011f4200

4313793024 has 400 divisors, whose sum is σ = 13725059040. Its totient is φ = 1347010560.

The previous prime is 4313792969. The next prime is 4313793031. The reversal of 4313793024 is 4203973134.

It is a super-2 number, since 2×43137930242 = 37217620507822129152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4313793024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73115107 + ... + 73115165.

Almost surely, 24313793024 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 4313793024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862529520).

4313793024 is an abundant number, since it is smaller than the sum of its proper divisors (9411266016).

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

4313793024 is an equidigital number, since it uses as much as digits as its factorization.

4313793024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4313793024 is about 65679.4718614576. The cubic root of 4313793024 is about 1627.8701810370.

It can be divided in two parts, 43137 and 93024, that added together give a square (136161 = 3692).

The spelling of 4313793024 in words is "four billion, three hundred thirteen million, seven hundred ninety-three thousand, twenty-four".