Search a number
-
+
306813089268 = 2232731591394789
BaseRepresentation
bin1000111011011110111…
…11000011010111110100
31002022221022221211012200
410131233133003113310
520011323122324033
6352540433144500
731111054141350
oct4355737032764
91068838854180
10306813089268
11109133a99094
124b5670bb130
1322c174b128a
1410bc7d26460
157eaa8a7013
hex476f7c35f4

306813089268 has 288 divisors, whose sum is σ = 937337856000. Its totient is φ = 82778008320.

The previous prime is 306813089267. The next prime is 306813089279. The reversal of 306813089268 is 862980318603.

It is a happy number.

306813089268 is a `hidden beast` number, since 306 + 8 + 1 + 308 + 9 + 26 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306813089267) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64063818 + ... + 64068606.

Almost surely, 2306813089268 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 306813089268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468668928000).

306813089268 is an abundant number, since it is smaller than the sum of its proper divisors (630524766732).

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

306813089268 is a wasteful number, since it uses less digits than its factorization.

306813089268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 306813089268 in words is "three hundred six billion, eight hundred thirteen million, eighty-nine thousand, two hundred sixty-eight".