Search a number
-
+
306998781960 = 2335132173972243
BaseRepresentation
bin1000111011110101000…
…11011010100000001000
31002100102021100222200210
410131322203122200020
520012213142010320
6353011105201120
731115500406433
oct4357243324010
91070367328623
10306998781960
11109219899822
124b5b93301a0
1322c46ac9300
1410c0486281a
157ebbd370e0
hex477a8da808

306998781960 has 384 divisors, whose sum is σ = 1059087934080. Its totient is φ = 70912917504.

The previous prime is 306998781959. The next prime is 306998782049. The reversal of 306998781960 is 69187899603.

It is a junction number, because it is equal to n+sod(n) for n = 306998781891 and 306998781900.

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 95 ways as a sum of consecutive naturals, for example, 136868599 + ... + 136870841.

It is an arithmetic number, because the mean of its divisors is an integer number (2758041495).

Almost surely, 2306998781960 is an apocalyptic number.

306998781960 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 306998781960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529543967040).

306998781960 is an abundant number, since it is smaller than the sum of its proper divisors (752089152120).

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

306998781960 is a wasteful number, since it uses less digits than its factorization.

306998781960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 66.

The spelling of 306998781960 in words is "three hundred six billion, nine hundred ninety-eight million, seven hundred eighty-one thousand, nine hundred sixty".