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63342306 = 23217317653
BaseRepresentation
bin1111000110100…
…0011011100010
311102012010022100
43301220123202
5112203423211
610141351230
71366254306
oct361503342
9142163270
1063342306
1132834015
1219268516
131017a371
1485abd06
155863156
hex3c686e2

63342306 has 48 divisors (see below), whose sum is σ = 145996344. Its totient is φ = 19779072.

The previous prime is 63342281. The next prime is 63342343. The reversal of 63342306 is 60324336.

63342306 is a `hidden beast` number, since 633 + 4 + 23 + 0 + 6 = 666.

63342306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39576681 + 23765625 = 6291^2 + 4875^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 63342306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96676 + ... + 97328.

Almost surely, 263342306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63342306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72998172).

63342306 is an abundant number, since it is smaller than the sum of its proper divisors (82654038).

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

63342306 is a wasteful number, since it uses less digits than its factorization.

63342306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 63342306 is about 7958.7879730522. The cubic root of 63342306 is about 398.6250835937.

The spelling of 63342306 in words is "sixty-three million, three hundred forty-two thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 317 634 653 951 1306 1902 1959 2853 3918 5389 5706 5877 10778 11101 11754 16167 22202 32334 33303 48501 66606 97002 99909 199818 207001 414002 621003 1242006 1863009 3519017 3726018 7038034 10557051 21114102 31671153 63342306