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4301000244 = 2232533376689
BaseRepresentation
bin1000000000101110…
…00000111000110100
3102002202002110011100
410000113000320310
532302024001434
61550441210100
7211403620212
oct40027007064
912082073140
104301000244
111907891162
12a00490930
135370ac878
142cb307cb2
151a28d0699
hex1005c0e34

4301000244 has 72 divisors (see below), whose sum is σ = 11111635080. Its totient is φ = 1402232832.

The previous prime is 4301000243. The next prime is 4301000279. The reversal of 4301000244 is 4420001034.

It can be written as a sum of positive squares in 4 ways, for example, as 1255284900 + 3045715344 = 35430^2 + 55188^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4301000243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639652 + ... + 646340.

It is an arithmetic number, because the mean of its divisors is an integer number (154328265).

Almost surely, 24301000244 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 4301000244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555817540).

4301000244 is an abundant number, since it is smaller than the sum of its proper divisors (6810634836).

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

4301000244 is a wasteful number, since it uses less digits than its factorization.

4301000244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7089 (or 7084 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4301000244 is about 65582.0115885446. The cubic root of 4301000244 is about 1626.2594095091.

Adding to 4301000244 its reverse (4420001034), we get a palindrome (8721001278).

The spelling of 4301000244 in words is "four billion, three hundred one million, two hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 337 477 636 674 954 1011 1348 1908 2022 3033 4044 6066 6689 12132 13378 17861 20067 26756 35722 40134 53583 60201 71444 80268 107166 120402 160749 214332 240804 321498 354517 642996 709034 1063551 1418068 2127102 2254193 3190653 4254204 4508386 6381306 6762579 9016772 12762612 13525158 20287737 27050316 40575474 81150948 119472229 238944458 358416687 477888916 716833374 1075250061 1433666748 2150500122 4301000244