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3383380 = 225711133
BaseRepresentation
bin1100111010000001010100
320100220010101
430322001110
51331232010
6200303444
740521040
oct14720124
96326111
103383380
111a00a90
121171b84
13916000
14641020
1546c73a
hex33a054

3383380 has 96 divisors (see below), whose sum is σ = 9596160. Its totient is φ = 973440.

The previous prime is 3383377. The next prime is 3383381. The reversal of 3383380 is 833833.

It is a super-2 number, since 2×33833802 = 22894520448800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3383381) 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, 260254 + ... + 260266.

It is an arithmetic number, because the mean of its divisors is an integer number (99960).

Almost surely, 23383380 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 3383380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798080).

3383380 is an abundant number, since it is smaller than the sum of its proper divisors (6212780).

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

3383380 is a wasteful number, since it uses less digits than its factorization.

3383380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3383380 is about 1839.3966402057. The cubic root of 3383380 is about 150.1240455379.

It can be divided in two parts, 3 and 383380, that added together give a palindrome (383383).

The spelling of 3383380 in words is "three million, three hundred eighty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 169 182 220 260 286 308 338 364 385 455 572 676 715 770 845 910 1001 1183 1430 1540 1690 1820 1859 2002 2197 2366 2860 3380 3718 4004 4394 4732 5005 5915 7436 8788 9295 10010 10985 11830 13013 15379 18590 20020 21970 23660 24167 26026 30758 37180 43940 48334 52052 61516 65065 76895 96668 120835 130130 153790 169169 241670 260260 307580 338338 483340 676676 845845 1691690 3383380