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63346842 = 232132111283
BaseRepresentation
bin1111000110100…
…1100010011010
311102012100112100
43301221202122
5112204044332
610141424230
71366303446
oct361514232
9142170470
1063346842
1132837469
121926b076
131017c450
1485ad826
15586467c
hex3c6989a

63346842 has 48 divisors (see below), whose sum is σ = 148625568. Its totient is φ = 19383840.

The previous prime is 63346841. The next prime is 63346859. The reversal of 63346842 is 24864336.

It is a happy number.

63346842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 63346797 and 63346806.

It is not an unprimeable number, because it can be changed into a prime (63346841) by changing a digit.

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, 48733 + ... + 50015.

It is an arithmetic number, because the mean of its divisors is an integer number (3096366).

Almost surely, 263346842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63346842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74312784).

63346842 is an abundant number, since it is smaller than the sum of its proper divisors (85278726).

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

63346842 is a wasteful number, since it uses less digits than its factorization.

63346842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1512 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 63346842 is about 7959.0729359643. The cubic root of 63346842 is about 398.6345986679.

The spelling of 63346842 in words is "sixty-three million, three hundred forty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 211 234 422 633 1266 1283 1899 2566 2743 3798 3849 5486 7698 8229 11547 16458 16679 23094 24687 33358 49374 50037 100074 150111 270713 300222 541426 812139 1624278 2436417 3519269 4872834 7038538 10557807 21115614 31673421 63346842