Search a number
-
+
3093381120 = 2143541307
BaseRepresentation
bin1011100001100001…
…0100000000000000
321222120202001011010
42320120110000000
522313401143440
61230541520520
7136441206564
oct27030240000
97876661133
103093381120
111348151025
12723b73140
133a3b4b43b
14214b936a4
1513188c580
hexb8614000

3093381120 has 240 divisors, whose sum is σ = 10172973888. Its totient is φ = 802160640.

The previous prime is 3093381107. The next prime is 3093381143. The reversal of 3093381120 is 211833903.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10076007 + ... + 10076313.

Almost surely, 23093381120 is an apocalyptic number.

3093381120 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 3093381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086486944).

3093381120 is an abundant number, since it is smaller than the sum of its proper divisors (7079592768).

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

3093381120 is an equidigital number, since it uses as much as digits as its factorization.

3093381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3093381120 is about 55618.1725697636. The cubic root of 3093381120 is about 1457.0612558247.

The spelling of 3093381120 in words is "three billion, ninety-three million, three hundred eighty-one thousand, one hundred twenty".