Search a number
-
+
6230261344 = 252347389463
BaseRepresentation
bin1011100110101101…
…00011111001100000
3121002012100001212011
411303112203321200
5100224421330334
62510120042304
7310251230146
oct56326437140
917065301764
106230261344
11270790261a
12125a603394
137839b9c98
1443162b596
15266e6d564
hex1735a3e60

6230261344 has 96 divisors (see below), whose sum is σ = 13133352960. Its totient is φ = 2902513152.

The previous prime is 6230261341. The next prime is 6230261347. The reversal of 6230261344 is 4431620326.

It is an interprime number because it is at equal distance from previous prime (6230261341) and next prime (6230261347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6230261341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13456057 + ... + 13456519.

It is an arithmetic number, because the mean of its divisors is an integer number (136805760).

Almost surely, 26230261344 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 6230261344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566676480).

6230261344 is an abundant number, since it is smaller than the sum of its proper divisors (6903091616).

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

6230261344 is a wasteful number, since it uses less digits than its factorization.

6230261344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 6230261344 is about 78932.0045608877. The cubic root of 6230261344 is about 1840.0745621959.

The spelling of 6230261344 in words is "six billion, two hundred thirty million, two hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 47 92 94 184 188 368 376 389 463 736 752 778 926 1081 1504 1556 1852 2162 3112 3704 4324 6224 7408 8648 8947 10649 12448 14816 17296 17894 18283 21298 21761 34592 35788 36566 42596 43522 71576 73132 85192 87044 143152 146264 170384 174088 180107 286304 292528 340768 348176 360214 420509 500503 585056 696352 720428 841018 1001006 1440856 1682036 2002012 2881712 3364072 4004024 4142461 5763424 6728144 8008048 8284922 8465029 13456288 16016096 16569844 16930058 33139688 33860116 66279376 67720232 132558752 135440464 194695667 270880928 389391334 778782668 1557565336 3115130672 6230261344