Search a number
-
+
968034096 = 24321012659
BaseRepresentation
bin111001101100110…
…000011100110000
32111110112020010200
4321230300130300
53440304042341
6240020155200
732663103561
oct7154603460
92443466120
10968034096
11457480387
12230238b00
13125727453
14927ca168
1559eb9db6
hex39b30730

968034096 has 90 divisors (see below), whose sum is σ = 2740391940. Its totient is φ = 318998400.

The previous prime is 968034091. The next prime is 968034121. The reversal of 968034096 is 690430869.

It is a super-2 number, since 2×9680340962 = 1874180022037074432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (968034091) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1468615 + ... + 1469273.

Almost surely, 2968034096 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 968034096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370195970).

968034096 is an abundant number, since it is smaller than the sum of its proper divisors (1772357844).

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

968034096 is a wasteful number, since it uses less digits than its factorization.

968034096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 968034096 is about 31113.2463108561. The cubic root of 968034096 is about 989.2291029622.

The spelling of 968034096 in words is "nine hundred sixty-eight million, thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 659 808 909 1212 1318 1616 1818 1977 2424 2636 3636 3954 4848 5272 5931 7272 7908 10201 10544 11862 14544 15816 20402 23724 30603 31632 40804 47448 61206 66559 81608 91809 94896 122412 133118 163216 183618 199677 244824 266236 367236 399354 489648 532472 599031 734472 798708 1064944 1198062 1468944 1597416 2396124 3194832 4792248 6722459 9584496 13444918 20167377 26889836 40334754 53779672 60502131 80669508 107559344 121004262 161339016 242008524 322678032 484017048 968034096