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726406331 = 7231347363
BaseRepresentation
bin101011010011000…
…001010010111011
31212121212021011012
4223103001102323
52441430000311
6200025224135
724000231500
oct5323012273
91777767135
10726406331
11343045912
1218333204b
13b7656741
146c68d4a7
1543b8b78b
hex2b4c14bb

726406331 has 12 divisors (see below), whose sum is σ = 847720872. Its totient is φ = 620631648.

The previous prime is 726406319. The next prime is 726406357. The reversal of 726406331 is 133604627.

726406331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 726406331 - 218 = 726144187 is a prime.

It is a super-2 number, since 2×7264063312 = 1055332315433763122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (726406301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8345 + ... + 39018.

It is an arithmetic number, because the mean of its divisors is an integer number (70643406).

Almost surely, 2726406331 is an apocalyptic number.

726406331 is a deficient number, since it is larger than the sum of its proper divisors (121314541).

726406331 is a wasteful number, since it uses less digits than its factorization.

726406331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47690 (or 47683 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 726406331 is about 26951.9262947938. The cubic root of 726406331 is about 898.9313781680.

The spelling of 726406331 in words is "seven hundred twenty-six million, four hundred six thousand, three hundred thirty-one".

Divisors: 1 7 49 313 2191 15337 47363 331541 2320787 14824619 103772333 726406331