Search a number
-
+
3065068800 = 283252127419
BaseRepresentation
bin1011011010110001…
…0011110100000000
321220121110121221200
42312230103310000
522234124200200
61224051021200
7135645440433
oct26654236400
97817417850
103065068800
111333173612
1271659a800
1339b0176a1
1421110381a
1512e148800
hexb6b13d00

3065068800 has 324 divisors, whose sum is σ = 11070958080. Its totient is φ = 808980480.

The previous prime is 3065068777. The next prime is 3065068813. The reversal of 3065068800 is 88605603.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7314991 + ... + 7315409.

Almost surely, 23065068800 is an apocalyptic number.

3065068800 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 3065068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535479040).

3065068800 is an abundant number, since it is smaller than the sum of its proper divisors (8005889280).

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

3065068800 is a wasteful number, since it uses less digits than its factorization.

3065068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3065068800 is about 55363.0634990514. The cubic root of 3065068800 is about 1452.6023500901.

The spelling of 3065068800 in words is "three billion, sixty-five million, sixty-eight thousand, eight hundred".