Search a number
-
+
3107542968 = 23345938087
BaseRepresentation
bin1011100100111001…
…0101011110111000
322000120101112120000
42321032111132320
522331012333333
61232205233000
7140002452015
oct27116253670
98016345500
103107542968
111355144032
12728862760
133a6a6942a
142169dc70c
15132c38713
hexb93957b8

3107542968 has 80 divisors (see below), whose sum is σ = 8719753680. Its totient is φ = 1033972992.

The previous prime is 3107542961. The next prime is 3107542969. The reversal of 3107542968 is 8692457013.

3107542968 is a `hidden beast` number, since 3 + 10 + 7 + 542 + 96 + 8 = 666.

3107542968 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

3107542968 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3107542961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 380221 + ... + 388307.

It is an arithmetic number, because the mean of its divisors is an integer number (108996921).

It is a 1-persistent number, because it is pandigital, but 2⋅3107542968 = 6215085936 is not.

Almost surely, 23107542968 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 3107542968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359876840).

3107542968 is an abundant number, since it is smaller than the sum of its proper divisors (5612210712).

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

3107542968 is a wasteful number, since it uses less digits than its factorization.

3107542968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8698 (or 8685 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3107542968 is about 55745.3403254478. The cubic root of 3107542968 is about 1459.2814015466.

The spelling of 3107542968 in words is "three billion, one hundred seven million, five hundred forty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 593 648 1186 1779 2372 3558 4744 5337 7116 8087 10674 14232 16011 16174 21348 24261 32022 32348 42696 48033 48522 64044 64696 72783 96066 97044 128088 145566 192132 194088 218349 291132 384264 436698 582264 655047 873396 1310094 1746792 2620188 4795591 5240376 9591182 14386773 19182364 28773546 38364728 43160319 57547092 86320638 115094184 129480957 172641276 258961914 345282552 388442871 517923828 776885742 1035847656 1553771484 3107542968