Search a number
-
+
30343725360 = 24335135320389
BaseRepresentation
bin11100010000101000…
…001000000100110000
32220022201001221221000
4130100220020010300
5444120443202420
621534551202000
72122642260414
oct342050100460
986281057830
1030343725360
1111961272a83
125a6a076300
132b276622a0
14167bd60d44
15bc8dc3690
hex710a08130

30343725360 has 320 divisors, whose sum is σ = 114686409600. Its totient is φ = 7327936512.

The previous prime is 30343725329. The next prime is 30343725389. The reversal of 30343725360 is 6352734303.

30343725360 is a `hidden beast` number, since 3 + 0 + 343 + 7 + 253 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1478046 + ... + 1498434.

It is an arithmetic number, because the mean of its divisors is an integer number (358395030).

Almost surely, 230343725360 is an apocalyptic number.

30343725360 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 30343725360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57343204800).

30343725360 is an abundant number, since it is smaller than the sum of its proper divisors (84342684240).

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

30343725360 is a wasteful number, since it uses less digits than its factorization.

30343725360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20477 (or 20465 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The spelling of 30343725360 in words is "thirty billion, three hundred forty-three million, seven hundred twenty-five thousand, three hundred sixty".