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3678283368 = 2332377119447
BaseRepresentation
bin1101101100111110…
…0010011001101000
3100111100100011012100
43123033202121220
530013120031433
61404554213400
7160102615134
oct33317423150
910440304170
103678283368
111618327811
12867a24260
1346808c046
1426c72a3c4
15167dc6b13
hexdb3e2668

3678283368 has 96 divisors (see below), whose sum is σ = 10375896960. Its totient is φ = 1176094080.

The previous prime is 3678283337. The next prime is 3678283381. The reversal of 3678283368 is 8633828763.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179421 + ... + 198867.

It is an arithmetic number, because the mean of its divisors is an integer number (108082260).

Almost surely, 23678283368 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 3678283368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187948480).

3678283368 is an abundant number, since it is smaller than the sum of its proper divisors (6697613592).

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

3678283368 is a wasteful number, since it uses less digits than its factorization.

3678283368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19567 (or 19560 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3678283368 is about 60648.8529817341. The cubic root of 3678283368 is about 1543.6484261755.

The spelling of 3678283368 in words is "three billion, six hundred seventy-eight million, two hundred eighty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 71 72 74 111 142 148 213 222 284 296 333 426 444 568 639 666 852 888 1278 1332 1704 2556 2627 2664 5112 5254 7881 10508 15762 19447 21016 23643 31524 38894 47286 58341 63048 77788 94572 116682 155576 175023 189144 233364 350046 466728 700092 719539 1380737 1400184 1439078 2158617 2761474 2878156 4142211 4317234 5522948 5756312 6475851 8284422 8634468 11045896 12426633 12951702 16568844 17268936 24853266 25903404 33137688 49706532 51087269 51806808 99413064 102174538 153261807 204349076 306523614 408698152 459785421 613047228 919570842 1226094456 1839141684 3678283368