Search a number
-
+
3220297344 = 2733112329127
BaseRepresentation
bin1011111111110001…
…1101011010000000
322022102120001111000
42333330131122000
523043344003334
61251314052000
7142542034665
oct27774353200
98272501430
103220297344
111402857070
1275a57a000
133c42273b4
1422798da6c
1513caac299
hexbff1d680

3220297344 has 512 divisors, whose sum is σ = 11280384000. Its totient is φ = 894136320.

The previous prime is 3220297343. The next prime is 3220297357. The reversal of 3220297344 is 4437920223.

It is a happy number.

3220297344 is a `hidden beast` number, since 3 + 2 + 20 + 297 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3220297299 and 3220297308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220297343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25356609 + ... + 25356735.

It is an arithmetic number, because the mean of its divisors is an integer number (22032000).

Almost surely, 23220297344 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 3220297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640192000).

3220297344 is an abundant number, since it is smaller than the sum of its proper divisors (8060086656).

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

3220297344 is a wasteful number, since it uses less digits than its factorization.

3220297344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3220297344 is about 56747.6637757009. The cubic root of 3220297344 is about 1476.7217040352.

The spelling of 3220297344 in words is "three billion, two hundred twenty million, two hundred ninety-seven thousand, three hundred forty-four".