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3371340 = 2235723349
BaseRepresentation
bin1100110111000101001100
320100021121110
430313011030
51330340330
6200132020
740440660
oct14670514
96307543
103371340
1119a2a35
121167010
1391069b
1463a8a0
15468db0
hex33714c

3371340 has 96 divisors (see below), whose sum is σ = 11289600. Its totient is φ = 734976.

The previous prime is 3371339. The next prime is 3371351. The reversal of 3371340 is 431733.

3371340 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 2×33713402 = 22731866791200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 9486 + ... + 9834.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

Almost surely, 23371340 is an apocalyptic number.

3371340 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 3371340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644800).

3371340 is an abundant number, since it is smaller than the sum of its proper divisors (7918260).

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

3371340 is a wasteful number, since it uses less digits than its factorization.

3371340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 3371340 is about 1836.1209110513. The cubic root of 3371340 is about 149.9457581656.

The spelling of 3371340 in words is "three million, three hundred seventy-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 349 420 460 483 644 690 698 805 966 1047 1380 1396 1610 1745 1932 2094 2415 2443 3220 3490 4188 4830 4886 5235 6980 7329 8027 9660 9772 10470 12215 14658 16054 20940 24081 24430 29316 32108 36645 40135 48162 48860 56189 73290 80270 96324 112378 120405 146580 160540 168567 224756 240810 280945 337134 481620 561890 674268 842835 1123780 1685670 3371340