Search a number
-
+
3320774336 = 261124110459
BaseRepresentation
bin1100010111101110…
…1111111011000000
322120102121211000002
43011323233323000
523300104234321
61305303415132
7145202054555
oct30573577300
98512554002
103320774336
111454543a00
127881544a8
1340bca7039
14237066a2c
1514680820b
hexc5eefec0

3320774336 has 84 divisors (see below), whose sum is σ = 7420554120. Its totient is φ = 1472486400.

The previous prime is 3320774297. The next prime is 3320774371. The reversal of 3320774336 is 6334770233.

It is a happy number.

It is a super-2 number, since 2×33207743362 = 22055084381272481792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3320774336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312275 + ... + 322733.

It is an arithmetic number, because the mean of its divisors is an integer number (88339930).

Almost surely, 23320774336 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 3320774336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710277060).

3320774336 is an abundant number, since it is smaller than the sum of its proper divisors (4099779784).

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

3320774336 is a wasteful number, since it uses less digits than its factorization.

3320774336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534 (or 10513 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 38.

The square root of 3320774336 is about 57626.1601705337. The cubic root of 3320774336 is about 1491.9231560832.

The spelling of 3320774336 in words is "three billion, three hundred twenty million, seven hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 121 164 176 242 328 352 451 484 656 704 902 968 1312 1804 1936 2624 3608 3872 4961 7216 7744 9922 10459 14432 19844 20918 28864 39688 41836 79376 83672 115049 158752 167344 230098 317504 334688 428819 460196 669376 857638 920392 1265539 1715276 1840784 2531078 3430552 3681568 4717009 5062156 6861104 7363136 9434018 10124312 13722208 18868036 20248624 27444416 37736072 40497248 51887099 75472144 80994496 103774198 150944288 207548396 301888576 415096792 830193584 1660387168 3320774336