Search a number
-
+
331291413 = 321012811297
BaseRepresentation
bin10011101111110…
…001101100010101
3212002101100101100
4103233301230111
51134302311123
652512420313
711131634115
oct2357615425
9762340340
10331291413
11160007162
1292b47699
135383582b
1431ddb045
151e140643
hex13bf1b15

331291413 has 24 divisors (see below), whose sum is σ = 485363736. Its totient is φ = 217728000.

The previous prime is 331291409. The next prime is 331291421. The reversal of 331291413 is 314192133.

331291413 is a `hidden beast` number, since 331 + 291 + 41 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 273637764 + 57653649 = 16542^2 + 7593^2 .

It is not a de Polignac number, because 331291413 - 22 = 331291409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331291423) 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 23 ways as a sum of consecutive naturals, for example, 254781 + ... + 256077.

It is an arithmetic number, because the mean of its divisors is an integer number (20223489).

Almost surely, 2331291413 is an apocalyptic number.

It is an amenable number.

331291413 is a deficient number, since it is larger than the sum of its proper divisors (154072323).

331291413 is a wasteful number, since it uses less digits than its factorization.

331291413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1682 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 331291413 is about 18201.4123902515. The cubic root of 331291413 is about 691.9425850601.

The spelling of 331291413 in words is "three hundred thirty-one million, two hundred ninety-one thousand, four hundred thirteen".

Divisors: 1 3 9 101 281 303 843 909 1297 2529 3891 11673 28381 85143 130997 255429 364457 392991 1093371 1178973 3280113 36810157 110430471 331291413