Search a number
-
+
331150680 = 23355731157
BaseRepresentation
bin10011101111001…
…111010101011000
3212002010012100000
4103233033111120
51134233310210
652505413000
711130506610
oct2357172530
9762105300
10331150680
1115aa20453
1292a9a160
13537b6763
1431da1a40
151e113ac0
hex13bcf558

331150680 has 384 divisors, whose sum is σ = 1325076480. Its totient is φ = 72783360.

The previous prime is 331150679. The next prime is 331150709. The reversal of 331150680 is 86051133.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2109162 + ... + 2109318.

It is an arithmetic number, because the mean of its divisors is an integer number (3450720).

Almost surely, 2331150680 is an apocalyptic number.

331150680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331150680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662538240).

331150680 is an abundant number, since it is smaller than the sum of its proper divisors (993925800).

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

331150680 is a wasteful number, since it uses less digits than its factorization.

331150680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 331150680 is about 18197.5459884018. The cubic root of 331150680 is about 691.8445918290.

The spelling of 331150680 in words is "three hundred thirty-one million, one hundred fifty thousand, six hundred eighty".