Search a number
-
+
63306168 = 23353157317
BaseRepresentation
bin1111000101111…
…1100110111000
311102010021201220
43301133212320
5112201244133
610140512040
71366044042
oct361374670
9142107656
1063306168
1132809952
121924b620
1310166a93
14859ca92
1558575b3
hex3c5f9b8

63306168 has 64 divisors (see below), whose sum is σ = 162790560. Its totient is φ = 20507136.

The previous prime is 63306167. The next prime is 63306179. The reversal of 63306168 is 86160336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63306161) 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, 199546 + ... + 199862.

Almost surely, 263306168 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 63306168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81395280).

63306168 is an abundant number, since it is smaller than the sum of its proper divisors (99484392).

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

63306168 is a wasteful number, since it uses less digits than its factorization.

63306168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 63306168 is about 7956.5173285804. The cubic root of 63306168 is about 398.5492614216.

The spelling of 63306168 in words is "sixty-three million, three hundred six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 157 159 212 314 317 318 424 471 628 634 636 942 951 1256 1268 1272 1884 1902 2536 3768 3804 7608 8321 16642 16801 24963 33284 33602 49769 49926 50403 66568 67204 99538 99852 100806 134408 149307 199076 199704 201612 298614 398152 403224 597228 1194456 2637757 5275514 7913271 10551028 15826542 21102056 31653084 63306168