Search a number
-
+
3133304304 = 2431329173149
BaseRepresentation
bin1011101011000010…
…0110110111110000
322002100212100110120
42322300212313300
522404111214204
61234525330240
7140434434654
oct27260466760
98070770416
103133304304
111368739999
12735406980
133ac1b9020
1421a1c6a64
151351266d9
hexbac26df0

3133304304 has 80 divisors (see below), whose sum is σ = 9017652000. Its totient is φ = 930843648.

The previous prime is 3133304197. The next prime is 3133304309. The reversal of 3133304304 is 4034033313.

It is a super-2 number, since 2×31333043042 = 19635191722929848832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133304309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68479 + ... + 104670.

It is an arithmetic number, because the mean of its divisors is an integer number (112720650).

Almost surely, 23133304304 is an apocalyptic number.

It is an amenable number.

3133304304 is an abundant number, since it is smaller than the sum of its proper divisors (5884347696).

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

3133304304 is a wasteful number, since it uses less digits than its factorization.

3133304304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173202 (or 173196 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 3133304304 is about 55975.9261111417. The cubic root of 3133304304 is about 1463.3027600475.

Adding to 3133304304 its reverse (4034033313), we get a palindrome (7167337617).

The spelling of 3133304304 in words is "three billion, one hundred thirty-three million, three hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 9048 18096 173149 346298 519447 692596 1038894 1385192 2077788 2250937 2770384 4155576 4501874 5021321 6752811 8311152 9003748 10042642 13505622 15063963 18007496 20085284 27011244 30127926 36014992 40170568 54022488 60255852 65277173 80341136 108044976 120511704 130554346 195831519 241023408 261108692 391663038 522217384 783326076 1044434768 1566652152 3133304304