Search a number
-
+
6030315344 = 241738956993
BaseRepresentation
bin1011001110110111…
…10100111101010000
3120120021002202111202
411213123310331100
544322230042334
62434214330332
7302302556204
oct54733647520
916507082452
106030315344
112614a57199
1212036599a8
13751451441
14412c60b04
1525462517e
hex1676f4f50

6030315344 has 40 divisors (see below), whose sum is σ = 12403034280. Its totient is φ = 2830450688.

The previous prime is 6030315299. The next prime is 6030315371. The reversal of 6030315344 is 4435130306.

It can be written as a sum of positive squares in 4 ways, for example, as 1780840000 + 4249475344 = 42200^2 + 65188^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77312 + ... + 134304.

It is an arithmetic number, because the mean of its divisors is an integer number (310075857).

Almost surely, 26030315344 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 6030315344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201517140).

6030315344 is an abundant number, since it is smaller than the sum of its proper divisors (6372718936).

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

6030315344 is a wasteful number, since it uses less digits than its factorization.

6030315344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57407 (or 57401 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 6030315344 is about 77655.1050736524. The cubic root of 6030315344 is about 1820.1758216810.

The spelling of 6030315344 in words is "six billion, thirty million, three hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 389 778 1556 3112 6224 6613 13226 26452 52904 56993 105808 113986 227972 455944 911888 968881 1937762 3875524 7751048 15502096 22170277 44340554 88681108 177362216 354724432 376894709 753789418 1507578836 3015157672 6030315344