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3369080 = 23511131931
BaseRepresentation
bin1100110110100001111000
320100011111202
430312201320
51330302310
6200113332
740431251
oct14664170
96304452
103369080
1119a1270
121165848
1390c650
14639b28
154683a5
hex336878

3369080 has 128 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1036800.

The previous prime is 3369073. The next prime is 3369083. The reversal of 3369080 is 809633.

3369080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33690802 = 22701400092800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3369083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108665 + ... + 108695.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

Almost surely, 23369080 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 3369080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3369080 is an abundant number, since it is smaller than the sum of its proper divisors (6307720).

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

3369080 is a wasteful number, since it uses less digits than its factorization.

3369080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 3369080 is about 1835.5053799976. The cubic root of 3369080 is about 149.9122449667.

The spelling of 3369080 in words is "three million, three hundred sixty-nine thousand, eighty".

Divisors: 1 2 4 5 8 10 11 13 19 20 22 26 31 38 40 44 52 55 62 65 76 88 95 104 110 124 130 143 152 155 190 209 220 247 248 260 286 310 341 380 403 418 440 494 520 572 589 620 682 715 760 806 836 988 1045 1144 1178 1235 1240 1364 1430 1612 1672 1705 1976 2015 2090 2356 2470 2717 2728 2860 2945 3224 3410 4030 4180 4433 4712 4940 5434 5720 5890 6479 6820 7657 8060 8360 8866 9880 10868 11780 12958 13585 13640 15314 16120 17732 21736 22165 23560 25916 27170 30628 32395 35464 38285 44330 51832 54340 61256 64790 76570 84227 88660 108680 129580 153140 168454 177320 259160 306280 336908 421135 673816 842270 1684540 3369080