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4000323301 = 13417505297
BaseRepresentation
bin1110111001110000…
…0001011011100101
3101022210022110221021
43232130001123211
531143040321201
61500540451141
7201063121102
oct35634013345
911283273837
104000323301
111773095117
12937849ab1
134b9a05910
1429d3d9aa9
151862daea1
hexee7016e5

4000323301 has 8 divisors (see below), whose sum is σ = 4413115224. Its totient is φ = 3602542080.

The previous prime is 4000323281. The next prime is 4000323319. The reversal of 4000323301 is 1033230004.

It can be written as a sum of positive squares in 4 ways, for example, as 53217025 + 3947106276 = 7295^2 + 62826^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4000323301 - 29 = 4000322789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000323101) 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 7 ways as a sum of consecutive naturals, for example, 3752116 + ... + 3753181.

It is an arithmetic number, because the mean of its divisors is an integer number (551639403).

Almost surely, 24000323301 is an apocalyptic number.

4000323301 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4000323301 is a deficient number, since it is larger than the sum of its proper divisors (412791923).

4000323301 is a wasteful number, since it uses less digits than its factorization.

4000323301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7505351.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 4000323301 is about 63248.1090705485. The cubic root of 4000323301 is about 1587.4438181783.

Adding to 4000323301 its reverse (1033230004), we get a palindrome (5033553305).

The spelling of 4000323301 in words is "four billion, three hundred twenty-three thousand, three hundred one".

Divisors: 1 13 41 533 7505297 97568861 307717177 4000323301