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3340141644 = 2237213940867
BaseRepresentation
bin1100011100010110…
…1000010001001100
322121210001202221210
43013011220101030
523320034013034
61311234454420
7145525510200
oct30705502114
98553052853
103340141644
111464471944
12792734410
13412cc8498
14239868b00
151483818e9
hexc716844c

3340141644 has 72 divisors (see below), whose sum is σ = 9131545920. Its totient is φ = 947437344.

The previous prime is 3340141633. The next prime is 3340141667. The reversal of 3340141644 is 4461410433.

It is a super-3 number, since 3×33401416443 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 61299 + ... + 102165.

Almost surely, 23340141644 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 3340141644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565772960).

3340141644 is an abundant number, since it is smaller than the sum of its proper divisors (5791404276).

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

3340141644 is a wasteful number, since it uses less digits than its factorization.

3340141644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41027 (or 41018 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3340141644 is about 57793.9585423944. The cubic root of 3340141644 is about 1494.8179170717.

The spelling of 3340141644 in words is "three billion, three hundred forty million, one hundred forty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 139 147 196 278 294 417 556 588 834 973 1668 1946 2919 3892 5838 6811 11676 13622 20433 27244 40866 40867 81732 81734 122601 163468 245202 286069 490404 572138 858207 1144276 1716414 2002483 3432828 4004966 5680513 6007449 8009932 11361026 12014898 17041539 22722052 24029796 34083078 39763591 68166156 79527182 119290773 159054364 238581546 278345137 477163092 556690274 835035411 1113380548 1670070822 3340141644