Search a number
-
+
30912440832 = 29347138191
BaseRepresentation
bin11100110010100001…
…100110101000000000
32221210100012200220000
4130302201212220000
51001302041101312
622111224520000
72143016261130
oct346241465000
987710180800
1030912440832
11121232a3369
125ba8620000
132bb8426310
1416d36c2ac0
15c0dcb1adc
hex732866a00

30912440832 has 400 divisors, whose sum is σ = 113571397632. Its totient is φ = 8151736320.

The previous prime is 30912440831. The next prime is 30912440837. The reversal of 30912440832 is 23804421903.

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

It is not an unprimeable number, because it can be changed into a prime (30912440831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3769857 + ... + 3778047.

Almost surely, 230912440832 is an apocalyptic number.

30912440832 is a gapful number since it is divisible by the number (32) 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 30912440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56785698816).

30912440832 is an abundant number, since it is smaller than the sum of its proper divisors (82658956800).

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

30912440832 is an equidigital number, since it uses as much as digits as its factorization.

30912440832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30912440832 in words is "thirty billion, nine hundred twelve million, four hundred forty thousand, eight hundred thirty-two".