Search a number
-
+
331170340 = 225731092081
BaseRepresentation
bin10011101111010…
…100001000100100
3212002011012022011
4103233110020210
51134234422330
652510044004
711130621124
oct2357241044
9762135264
10331170340
1115aa341a6
1292aa9604
13537c26a7
1431da8c84
151e11982a
hex13bd4224

331170340 has 48 divisors (see below), whose sum is σ = 711794160. Its totient is φ = 129392640.

The previous prime is 331170337. The next prime is 331170373. The reversal of 331170340 is 43071133.

It is a happy number.

331170340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3136 + 331167204 = 56^2 + 18198^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158100 + ... + 160180.

It is an arithmetic number, because the mean of its divisors is an integer number (14829045).

Almost surely, 2331170340 is an apocalyptic number.

It is an amenable number.

331170340 is an abundant number, since it is smaller than the sum of its proper divisors (380623820).

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

331170340 is a wasteful number, since it uses less digits than its factorization.

331170340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 331170340 is about 18198.0861631107. The cubic root of 331170340 is about 691.8582828729.

The spelling of 331170340 in words is "three hundred thirty-one million, one hundred seventy thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 109 146 218 292 365 436 545 730 1090 1460 2081 2180 4162 7957 8324 10405 15914 20810 31828 39785 41620 79570 151913 159140 226829 303826 453658 607652 759565 907316 1134145 1519130 2268290 3038260 4536580 16558517 33117034 66234068 82792585 165585170 331170340