Search a number
-
+
331073460 = 22335613099
BaseRepresentation
bin10011101110111…
…100011110110100
3212001222021102000
4103232330132310
51134223322320
652504015300
711130035514
oct2356743664
9761867360
10331073460
1115a978433
1292a61530
135378a573
1431d81844
151e0eac90
hex13bbc7b4

331073460 has 48 divisors (see below), whose sum is σ = 1030008000. Its totient is φ = 88286112.

The previous prime is 331073441. The next prime is 331073467. The reversal of 331073460 is 64370133.

It is a happy number.

331073460 is a `hidden beast` number, since 3 + 310 + 7 + 346 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331073467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306010 + ... + 307089.

It is an arithmetic number, because the mean of its divisors is an integer number (21458500).

Almost surely, 2331073460 is an apocalyptic number.

331073460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331073460 is an abundant number, since it is smaller than the sum of its proper divisors (698934540).

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

331073460 is a wasteful number, since it uses less digits than its factorization.

331073460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613117 (or 613109 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 331073460 is about 18195.4241500439. The cubic root of 331073460 is about 691.7908112836.

The spelling of 331073460 in words is "three hundred thirty-one million, seventy-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 613099 1226198 1839297 2452396 3065495 3678594 5517891 6130990 7357188 9196485 11035782 12261980 16553673 18392970 22071564 27589455 33107346 36785940 55178910 66214692 82768365 110357820 165536730 331073460