Search a number
-
+
330324646740 = 2235112918239467
BaseRepresentation
bin1001100111010001110…
…00100001101101010100
31011120121220002200201120
410303220320201231110
520403001102143430
6411425443323540
732602516112214
oct4635070415524
91146556080646
10330324646740
111180a9719220
12540290805b0
13251c3540c6a
1411db8738244
1588d4a64610
hex4ce8e21b54

330324646740 has 192 divisors, whose sum is σ = 1044467343360. Its totient is φ = 77266792960.

The previous prime is 330324646739. The next prime is 330324646849. The reversal of 330324646740 is 47646423033.

It is a super-2 number, since 2×3303246467402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330324646692 and 330324646701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34887487 + ... + 34896953.

It is an arithmetic number, because the mean of its divisors is an integer number (5439934080).

Almost surely, 2330324646740 is an apocalyptic number.

330324646740 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 330324646740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522233671680).

330324646740 is an abundant number, since it is smaller than the sum of its proper divisors (714142696620).

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

330324646740 is a wasteful number, since it uses less digits than its factorization.

330324646740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11342 (or 11340 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 42.

The spelling of 330324646740 in words is "three hundred thirty billion, three hundred twenty-four million, six hundred forty-six thousand, seven hundred forty".