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3331020 = 22357211103
BaseRepresentation
bin1100101101001111001100
320021020022010
430231033030
51323043040
6155221220
740212300
oct14551714
96236263
103331020
111975710
121147810
138c8224
14629d00
1545be80
hex32d3cc

3331020 has 144 divisors (see below), whose sum is σ = 11950848. Its totient is φ = 685440.

The previous prime is 3331001. The next prime is 3331033. The reversal of 3331020 is 201333.

It is a happy number.

It is a super-2 number, since 2×33310202 = 22191388480800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3330987 and 3331005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32289 + ... + 32391.

It is an arithmetic number, because the mean of its divisors is an integer number (82992).

Almost surely, 23331020 is an apocalyptic number.

3331020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424).

3331020 is an abundant number, since it is smaller than the sum of its proper divisors (8619828).

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

3331020 is a wasteful number, since it uses less digits than its factorization.

3331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3331020 is about 1825.1082159697. The cubic root of 3331020 is about 149.3455936115.

Adding to 3331020 its reverse (201333), we get a palindrome (3532353).

The spelling of 3331020 in words is "three million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 103 105 110 132 140 147 154 165 196 206 210 220 231 245 294 308 309 330 385 412 420 462 490 515 539 588 618 660 721 735 770 924 980 1030 1078 1133 1155 1236 1442 1470 1540 1545 1617 2060 2156 2163 2266 2310 2695 2884 2940 3090 3234 3399 3605 4326 4532 4620 5047 5390 5665 6180 6468 6798 7210 7931 8085 8652 10094 10780 10815 11330 13596 14420 15141 15862 16170 16995 20188 21630 22660 23793 25235 30282 31724 32340 33990 39655 43260 47586 50470 55517 60564 67980 75705 79310 95172 100940 111034 118965 151410 158620 166551 222068 237930 277585 302820 333102 475860 555170 666204 832755 1110340 1665510 3331020