Search a number
-
+
30743964180 = 22335317125867
BaseRepresentation
bin11100101000011110…
…111010101000010100
32221100121012012101000
4130220132322220110
51000430423323210
622042405503300
72135602245426
oct345036725024
987317165330
1030743964180
1112047191366
125b60111b30
132b8c5584a7
1416b9188816
15bee0d2ac0
hex7287baa14

30743964180 has 192 divisors, whose sum is σ = 100127784960. Its totient is φ = 7821878400.

The previous prime is 30743964169. The next prime is 30743964197. The reversal of 30743964180 is 8146934703.

30743964180 is a `hidden beast` number, since 30 + 7 + 439 + 6 + 4 + 180 = 666.

It is a super-2 number, since 2×307439641802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 1175607 + ... + 1201473.

It is an arithmetic number, because the mean of its divisors is an integer number (521498880).

Almost surely, 230743964180 is an apocalyptic number.

30743964180 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 30743964180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50063892480).

30743964180 is an abundant number, since it is smaller than the sum of its proper divisors (69383820780).

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

30743964180 is a wasteful number, since it uses less digits than its factorization.

30743964180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25987 (or 25979 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 30743964180 in words is "thirty billion, seven hundred forty-three million, nine hundred sixty-four thousand, one hundred eighty".