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63431346 = 23112412131
BaseRepresentation
bin1111000111111…
…0001010110010
311102100122110010
43301332022302
5112214300341
610143315350
71400105016
oct361761262
9142318403
1063431346
1132894a00
12192abb56
13101aba54
1485d2546
15587e716
hex3c7e2b2

63431346 has 48 divisors (see below), whose sum is σ = 142912224. Its totient is φ = 18744000.

The previous prime is 63431327. The next prime is 63431353. The reversal of 63431346 is 64313436.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28701 + ... + 30831.

It is an arithmetic number, because the mean of its divisors is an integer number (2977338).

Almost surely, 263431346 is an apocalyptic number.

63431346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 63431346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71456112).

63431346 is an abundant number, since it is smaller than the sum of its proper divisors (79480878).

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

63431346 is a wasteful number, since it uses less digits than its factorization.

63431346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2188 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 63431346 is about 7964.3798251967. The cubic root of 63431346 is about 398.8117779828.

The spelling of 63431346 in words is "sixty-three million, four hundred thirty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 363 451 726 902 1353 2131 2706 4262 4961 6393 9922 12786 14883 23441 29766 46882 70323 87371 140646 174742 257851 262113 515702 524226 773553 961081 1547106 1922162 2883243 5766486 10571891 21143782 31715673 63431346