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3337281990 = 2325738313831
BaseRepresentation
bin1100011011101010…
…1110000111000110
322121120200111020200
43012322232013012
523313321010430
61311053311330
7145462300050
oct30672560706
98546614220
103337281990
111462899399
12791795546
13412536993
142393228d0
15147eb9460
hexc6eae1c6

3337281990 has 96 divisors (see below), whose sum is σ = 9943105536. Its totient is φ = 760760640.

The previous prime is 3337281989. The next prime is 3337282021. The reversal of 3337281990 is 991827333.

It is a super-2 number, since 2×33372819902 = 22274902161556720200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 234375 + ... + 248205.

It is an arithmetic number, because the mean of its divisors is an integer number (103574016).

Almost surely, 23337281990 is an apocalyptic number.

3337281990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3337281990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971552768).

3337281990 is an abundant number, since it is smaller than the sum of its proper divisors (6605823546).

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

3337281990 is a wasteful number, since it uses less digits than its factorization.

3337281990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14234 (or 14231 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3337281990 is about 57769.2131675688. The cubic root of 3337281990 is about 1494.3912003846.

The spelling of 3337281990 in words is "three billion, three hundred thirty-seven million, two hundred eighty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 383 630 766 1149 1915 2298 2681 3447 3830 5362 5745 6894 8043 11490 13405 13831 16086 17235 24129 26810 27662 34470 40215 41493 48258 69155 80430 82986 96817 120645 124479 138310 193634 207465 241290 248958 290451 414930 484085 580902 622395 871353 968170 1244790 1452255 1742706 2904510 4356765 5297273 8713530 10594546 15891819 26486365 31783638 37080911 47675457 52972730 74161822 79459095 95350914 111242733 158918190 185404555 222485466 238377285 333728199 370809110 476754570 556213665 667456398 1112427330 1668640995 3337281990