Search a number
-
+
3069722880 = 28335712689
BaseRepresentation
bin1011011011111000…
…0100000100000000
321220221020002011000
42312332010010000
522241322113010
61224334452000
7136033133250
oct26676040400
97827202130
103069722880
111335862264
12718064000
1339bc86b93
14211995960
1512e7677c0
hexb6f84100

3069722880 has 288 divisors, whose sum is σ = 12450412800. Its totient is φ = 701595648.

The previous prime is 3069722863. The next prime is 3069722881. The reversal of 3069722880 is 882279603.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3069722881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235576 + ... + 248264.

It is an arithmetic number, because the mean of its divisors is an integer number (43230600).

Almost surely, 23069722880 is an apocalyptic number.

3069722880 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 3069722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6225206400).

3069722880 is an abundant number, since it is smaller than the sum of its proper divisors (9380689920).

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

3069722880 is a wasteful number, since it uses less digits than its factorization.

3069722880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12726 (or 12706 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3069722880 is about 55405.0799115027. The cubic root of 3069722880 is about 1453.3372013102.

The spelling of 3069722880 in words is "three billion, sixty-nine million, seven hundred twenty-two thousand, eight hundred eighty".