Search a number
-
+
3331133208 = 2333131916211
BaseRepresentation
bin1100011010001101…
…0000111100011000
322121011010002201000
43012203100330120
523310232230313
61310313425000
7145356110424
oct30643207430
98534102630
103331133208
11145a379757
1278b70b160
13411193050
142385a1b84
151476a2673
hexc68d0f18

3331133208 has 128 divisors (see below), whose sum is σ = 10018713600. Its totient is φ = 1019433600.

The previous prime is 3331133203. The next prime is 3331133209. The reversal of 3331133208 is 8023311333.

3331133208 is a `hidden beast` number, since 3 + 331 + 1 + 3 + 320 + 8 = 666.

It is a super-2 number, since 2×33311332082 = 22192896898880742528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331133203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533223 + ... + 539433.

It is an arithmetic number, because the mean of its divisors is an integer number (78271200).

Almost surely, 23331133208 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 3331133208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009356800).

3331133208 is an abundant number, since it is smaller than the sum of its proper divisors (6687580392).

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

3331133208 is a wasteful number, since it uses less digits than its factorization.

3331133208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3331133208 is about 57715.9701295924. The cubic root of 3331133208 is about 1493.4728547806.

The spelling of 3331133208 in words is "three billion, three hundred thirty-one million, one hundred thirty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 191 216 234 312 351 382 468 573 702 764 936 1146 1404 1528 1719 2292 2483 2808 3438 4584 4966 5157 6211 6876 7449 9932 10314 12422 13752 14898 18633 19864 20628 22347 24844 29796 37266 41256 44694 49688 55899 59592 67041 74532 80743 89388 111798 134082 149064 161486 167697 178776 223596 242229 268164 322972 335394 447192 484458 536328 645944 670788 726687 968916 1186301 1341576 1453374 1937832 2180061 2372602 2906748 3558903 4360122 4745204 5813496 7117806 8720244 9490408 10676709 14235612 15421913 17440488 21353418 28471224 30843826 32030127 42706836 46265739 61687652 64060254 85413672 92531478 123375304 128120508 138797217 185062956 256241016 277594434 370125912 416391651 555188868 832783302 1110377736 1665566604 3331133208