Search a number
-
+
3311354736 = 243329326161
BaseRepresentation
bin1100010101011111…
…0100001101110000
322112202220020202000
43011113310031300
523240201322421
61304325454000
7145026023304
oct30527641560
98482806660
103311354736
11144a19a908
12784b71300
1340a059701
14235ad3d04
15145a97226
hexc55f4370

3311354736 has 80 divisors (see below), whose sum is σ = 9537618720. Its totient is φ = 1099975680.

The previous prime is 3311354719. The next prime is 3311354747. The reversal of 3311354736 is 6374531133.

3311354736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3311354736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113496 + ... + 139656.

It is an arithmetic number, because the mean of its divisors is an integer number (119220234).

Almost surely, 23311354736 is an apocalyptic number.

3311354736 is a gapful number since it is divisible by the number (36) 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 3311354736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768809360).

3311354736 is an abundant number, since it is smaller than the sum of its proper divisors (6226263984).

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

3311354736 is a wasteful number, since it uses less digits than its factorization.

3311354736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26471 (or 26459 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 3311354736 is about 57544.3718881352. The cubic root of 3311354736 is about 1490.5111733501.

Adding to 3311354736 its reverse (6374531133), we get a palindrome (9685885869).

The spelling of 3311354736 in words is "three billion, three hundred eleven million, three hundred fifty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 293 432 586 879 1172 1758 2344 2637 3516 4688 5274 7032 7911 10548 14064 15822 21096 26161 31644 42192 52322 63288 78483 104644 126576 156966 209288 235449 313932 418576 470898 627864 706347 941796 1255728 1412694 1883592 2825388 3767184 5650776 7665173 11301552 15330346 22995519 30660692 45991038 61321384 68986557 91982076 122642768 137973114 183964152 206959671 275946228 367928304 413919342 551892456 827838684 1103784912 1655677368 3311354736