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3334545768 = 233432163461
BaseRepresentation
bin1100011011000001…
…0010000101101000
322121101112110212010
43012300102011220
523312120431033
61310514515520
7145430112531
oct30660220550
98541473763
103334545768
11146129a654
12790895ba0
13411ab9408
14238c0d688
15147b28863
hexc6c12168

3334545768 has 96 divisors (see below), whose sum is σ = 8605729440. Its totient is φ = 1076664960.

The previous prime is 3334545691. The next prime is 3334545769. The reversal of 3334545768 is 8675454333.

It is a super-2 number, since 2×33345457682 = 22238390957773419648, which contains 22 as substring.

Its product of digits (3628800) is a multiple of the sum of its prime divisors (672).

It is not an unprimeable number, because it can be changed into a prime (3334545769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7233058 + ... + 7233518.

It is an arithmetic number, because the mean of its divisors is an integer number (89643015).

Almost surely, 23334545768 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 3334545768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302864720).

3334545768 is an abundant number, since it is smaller than the sum of its proper divisors (5271183672).

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

3334545768 is a wasteful number, since it uses less digits than its factorization.

3334545768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 672 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 48.

The square root of 3334545768 is about 57745.5259565622. The cubic root of 3334545768 is about 1493.9826739136.

The spelling of 3334545768 in words is "three billion, three hundred thirty-four million, five hundred forty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 163 172 258 326 344 461 489 516 652 922 978 1032 1304 1383 1844 1849 1956 2766 3688 3698 3912 5532 5547 7009 7396 11064 11094 14018 14792 19823 21027 22188 28036 39646 42054 44376 56072 59469 75143 79292 84108 118938 150286 158584 168216 225429 237876 300572 301387 450858 475752 601144 602774 852389 901716 904161 1205548 1704778 1803432 1808322 2411096 2557167 3231149 3409556 3616644 5114334 6462298 6819112 7233288 9693447 10228668 12924596 19386894 20457336 25849192 38773788 77547576 138939407 277878814 416818221 555757628 833636442 1111515256 1667272884 3334545768