Search a number
-
+
3320123456 = 261311533461
BaseRepresentation
bin1100010111100101…
…0001000001000000
322120101101202011102
43011321101001000
523244422422311
61305241433532
7145163404136
oct30571210100
98511352142
103320123456
111454139991
12787a9b8a8
1340bb099c0
14236d37756
1514672a43b
hexc5e51040

3320123456 has 56 divisors (see below), whose sum is σ = 7103373144. Its totient is φ = 1530593280.

The previous prime is 3320123447. The next prime is 3320123473. The reversal of 3320123456 is 6543210233.

It can be written as a sum of positive squares in 4 ways, for example, as 118374400 + 3201749056 = 10880^2 + 56584^2 .

It is a super-2 number, since 2×33201234562 = 22046439526162767872, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 957566 + ... + 961026.

It is an arithmetic number, because the mean of its divisors is an integer number (126845949).

Almost surely, 23320123456 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 3320123456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551686572).

3320123456 is an abundant number, since it is smaller than the sum of its proper divisors (3783249688).

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

3320123456 is a wasteful number, since it uses less digits than its factorization.

3320123456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 3320123456 is about 57620.5124586722. The cubic root of 3320123456 is about 1491.8256761688.

Adding to 3320123456 its reverse (6543210233), we get a palindrome (9863333689).

The spelling of 3320123456 in words is "three billion, three hundred twenty million, one hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1153 2306 3461 4612 6922 9224 13844 14989 18448 27688 29978 36896 44993 55376 59956 73792 89986 110752 119912 179972 221504 239824 359944 479648 719888 959296 1439776 2879552 3990533 7981066 15962132 31924264 51876929 63848528 103753858 127697056 207507716 255394112 415015432 830030864 1660061728 3320123456