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668836344 = 233116737813
BaseRepresentation
bin100111110111011…
…010000111111000
31201121112101222110
4213313122013320
52332210230334
6150211252320
722401005121
oct4767320770
91647471873
10668836344
113135a4710
12167baa0a0
13a874a867
1464b85048
153dab8ae9
hex27dda1f8

668836344 has 64 divisors (see below), whose sum is σ = 1851373440. Its totient is φ = 199647360.

The previous prime is 668836339. The next prime is 668836361. The reversal of 668836344 is 443638866.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 668836293 and 668836302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219 + ... + 36594.

It is an arithmetic number, because the mean of its divisors is an integer number (28927710).

Almost surely, 2668836344 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 668836344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925686720).

668836344 is an abundant number, since it is smaller than the sum of its proper divisors (1182537096).

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

668836344 is a wasteful number, since it uses less digits than its factorization.

668836344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37900 (or 37896 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 668836344 is about 25861.8704659968. The cubic root of 668836344 is about 874.5271323628.

The spelling of 668836344 in words is "six hundred sixty-eight million, eight hundred thirty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 4422 5896 8844 17688 37813 75626 113439 151252 226878 302504 415943 453756 831886 907512 1247829 1663772 2495658 2533471 3327544 4991316 5066942 7600413 9982632 10133884 15200826 20267768 27868181 30401652 55736362 60803304 83604543 111472724 167209086 222945448 334418172 668836344