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3355313312 = 251349116427
BaseRepresentation
bin1100011111111110…
…0000010010100000
322122211121120120102
43013333200102200
523332430011222
61312540001532
7146101456361
oct30777402240
98584546512
103355313312
111471a9460a
127978302a8
134161aacc0
1423b897b68
1514987bd92
hexc7fe04a0

3355313312 has 48 divisors (see below), whose sum is σ = 7128832032. Its totient is φ = 1545358080.

The previous prime is 3355313287. The next prime is 3355313447. The reversal of 3355313312 is 2133135533.

It is a super-2 number, since 2×33553133122 = 22516254843368818688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196043 + ... + 212469.

It is an arithmetic number, because the mean of its divisors is an integer number (148517334).

Almost surely, 23355313312 is an apocalyptic number.

3355313312 is a gapful number since it is divisible by the number (32) 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 3355313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564416016).

3355313312 is an abundant number, since it is smaller than the sum of its proper divisors (3773518720).

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

3355313312 is a wasteful number, since it uses less digits than its factorization.

3355313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16941 (or 16933 counting only the distinct ones).

The product of its digits is 12150, while the sum is 29.

The square root of 3355313312 is about 57925.0663530047. The cubic root of 3355313312 is about 1497.0777643524.

Adding to 3355313312 its reverse (2133135533), we get a palindrome (5488448845).

The spelling of 3355313312 in words is "three billion, three hundred fifty-five million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 491 982 1964 3928 6383 7856 12766 15712 16427 25532 32854 51064 65708 102128 131416 204256 213551 262832 427102 525664 854204 1708408 3416816 6833632 8065657 16131314 32262628 64525256 104853541 129050512 209707082 258101024 419414164 838828328 1677656656 3355313312