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3340980 = 2233523269
BaseRepresentation
bin1100101111101010110100
320021201222000
430233222310
51323402410
6155335300
740253316
oct14575264
96251860
103340980
111982145
121151530
138cc916
1462d7b6
1545edc0
hex32fab4

3340980 has 96 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 849024.

The previous prime is 3340973. The next prime is 3341021. The reversal of 3340980 is 890433.

3340980 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33409802 = 22324294720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12286 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 23340980 is an apocalyptic number.

3340980 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 3340980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3340980 is an abundant number, since it is smaller than the sum of its proper divisors (7545420).

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

3340980 is a wasteful number, since it uses less digits than its factorization.

3340980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3340980 is about 1827.8347846564. The cubic root of 3340980 is about 149.4942970125.

It can be divided in two parts, 33409 and 80, that added together give a square (33489 = 1832).

The spelling of 3340980 in words is "three million, three hundred forty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 269 270 276 345 414 460 538 540 621 690 807 828 1035 1076 1242 1345 1380 1614 2070 2421 2484 2690 3105 3228 4035 4140 4842 5380 6187 6210 7263 8070 9684 12105 12374 12420 14526 16140 18561 24210 24748 29052 30935 36315 37122 48420 55683 61870 72630 74244 92805 111366 123740 145260 167049 185610 222732 278415 334098 371220 556830 668196 835245 1113660 1670490 3340980