Search a number
-
+
3068546976 = 253411281383
BaseRepresentation
bin1011011011100110…
…0100111110100000
321220212000100010000
42312321210332200
522241022000401
61224253340000
7136020135045
oct26671447640
97825010100
103068546976
111335129840
12717797600
1339b964891
1421176b1cc
1512e5d4186
hexb6e64fa0

3068546976 has 240 divisors, whose sum is σ = 9905753088. Its totient is φ = 924134400.

The previous prime is 3068546917. The next prime is 3068546983. The reversal of 3068546976 is 6796458603.

3068546976 is a `hidden beast` number, since 3 + 0 + 6 + 8 + 546 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 8011681 + ... + 8012063.

Almost surely, 23068546976 is an apocalyptic number.

3068546976 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 3068546976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952876544).

3068546976 is an abundant number, since it is smaller than the sum of its proper divisors (6837206112).

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

3068546976 is a wasteful number, since it uses less digits than its factorization.

3068546976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3068546976 is about 55394.4670161199. The cubic root of 3068546976 is about 1453.1516033090.

The spelling of 3068546976 in words is "three billion, sixty-eight million, five hundred forty-six thousand, nine hundred seventy-six".