Search a number
-
+
307393411104 = 25341335925411
BaseRepresentation
bin1000111100100100001…
…00110011100000100000
31002101102202221020010000
410132102010303200200
520014020203123404
6353114203340000
731131331611633
oct4362204634040
91071382836100
10307393411104
1110940162650a
124b6a9521600
1322caa7aa090
1410c41029c1a
157ee17d9339
hex4792133820

307393411104 has 240 divisors, whose sum is σ = 976327007040. Its totient is φ = 94315415040.

The previous prime is 307393411099. The next prime is 307393411133. The reversal of 307393411104 is 401114393703.

It is a happy number.

307393411104 is a `hidden beast` number, since 307 + 3 + 9 + 341 + 1 + 1 + 0 + 4 = 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 39 ways as a sum of consecutive naturals, for example, 12084159 + ... + 12109569.

It is an arithmetic number, because the mean of its divisors is an integer number (4068029196).

Almost surely, 2307393411104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307393411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488163503520).

307393411104 is an abundant number, since it is smaller than the sum of its proper divisors (668933595936).

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

307393411104 is a wasteful number, since it uses less digits than its factorization.

307393411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25805 (or 25788 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 307393411104 in words is "three hundred seven billion, three hundred ninety-three million, four hundred eleven thousand, one hundred four".