Search a number
-
+
308098656 = 25328312889
BaseRepresentation
bin10010010111010…
…011011001100000
3210110202000220100
4102113103121200
51112333124111
650323342400
710430536545
oct2227233140
9713660810
10308098656
11148a06098
1287221a00
134baa50c8
142ccc0bcc
151c0ad756
hex125d3660

308098656 has 72 divisors (see below), whose sum is σ = 886780440. Its totient is φ = 101454336.

The previous prime is 308098631. The next prime is 308098663. The reversal of 308098656 is 656890803.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17460 + ... + 30348.

It is an arithmetic number, because the mean of its divisors is an integer number (12316395).

Almost surely, 2308098656 is an apocalyptic number.

308098656 is a gapful number since it is divisible by the number (36) 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 308098656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443390220).

308098656 is an abundant number, since it is smaller than the sum of its proper divisors (578681784).

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

308098656 is a wasteful number, since it uses less digits than its factorization.

308098656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12988 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 308098656 is about 17552.7392734012. The cubic root of 308098656 is about 675.4034394794.

The spelling of 308098656 in words is "three hundred eight million, ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 11952 12889 23904 25778 38667 51556 77334 103112 116001 154668 206224 232002 309336 412448 464004 618672 928008 1069787 1237344 1856016 2139574 3209361 3712032 4279148 6418722 8558296 9628083 12837444 17116592 19256166 25674888 34233184 38512332 51349776 77024664 102699552 154049328 308098656