Search a number
-
+
331383888 = 2432111311597
BaseRepresentation
bin10011110000001…
…000010001010000
3212002120001020100
4103300020101100
51134313241023
652514412400
711132500533
oct2360102120
9762501210
10331383888
1116006a690
1292b91100
1353868954
1432022a1a
151e15cc43
hex13c08450

331383888 has 120 divisors (see below), whose sum is σ = 1020086496. Its totient is φ = 99590400.

The previous prime is 331383869. The next prime is 331383889. The reversal of 331383888 is 888383133.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331383889) 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, 206706 + ... + 208302.

Almost surely, 2331383888 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 331383888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510043248).

331383888 is an abundant number, since it is smaller than the sum of its proper divisors (688702608).

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

331383888 is a wasteful number, since it uses less digits than its factorization.

331383888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1744 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 331383888 is about 18203.9525378419. The cubic root of 331383888 is about 692.0069608486.

The spelling of 331383888 in words is "three hundred thirty-one million, three hundred eighty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 131 132 144 176 198 262 264 393 396 524 528 786 792 1048 1179 1441 1572 1584 1597 2096 2358 2882 3144 3194 4323 4716 4791 5764 6288 6388 8646 9432 9582 11528 12776 12969 14373 17292 17567 18864 19164 23056 25552 25938 28746 34584 35134 38328 51876 52701 57492 69168 70268 76656 103752 105402 114984 140536 158103 207504 209207 210804 229968 281072 316206 418414 421608 627621 632412 836828 843216 1255242 1264824 1673656 1882863 2301277 2510484 2529648 3347312 3765726 4602554 5020968 6903831 7531452 9205108 10041936 13807662 15062904 18410216 20711493 27615324 30125808 36820432 41422986 55230648 82845972 110461296 165691944 331383888