Search a number
-
+
3164304 = 2431113461
BaseRepresentation
bin1100000100100010010000
312221202121110
430010202100
51302224204
6151453320
735616243
oct14044220
95852543
103164304
111871430
121087240
1386a390
145c525a
15427889
hex304890

3164304 has 80 divisors (see below), whose sum is σ = 9624384. Its totient is φ = 883200.

The previous prime is 3164303. The next prime is 3164323. The reversal of 3164304 is 4034613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6634 + ... + 7094.

Almost surely, 23164304 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 3164304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812192).

3164304 is an abundant number, since it is smaller than the sum of its proper divisors (6460080).

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

3164304 is a wasteful number, since it uses less digits than its factorization.

3164304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3164304 is about 1778.8490661099. The cubic root of 3164304 is about 146.8112715225.

Adding to 3164304 its reverse (4034613), we get a palindrome (7198917).

The spelling of 3164304 in words is "three million, one hundred sixty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 461 528 572 624 858 922 1144 1383 1716 1844 2288 2766 3432 3688 5071 5532 5993 6864 7376 10142 11064 11986 15213 17979 20284 22128 23972 30426 35958 40568 47944 60852 65923 71916 81136 95888 121704 131846 143832 197769 243408 263692 287664 395538 527384 791076 1054768 1582152 3164304