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3439380 = 2235719431
BaseRepresentation
bin1101000111101100010100
320110201221110
431013230110
51340030010
6201415020
741143230
oct15075424
96421843
103439380
111a3a06a
12119a470
13935649
146575c0
1547e120
hex347b14

3439380 has 96 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 743040.

The previous prime is 3439379. The next prime is 3439393. The reversal of 3439380 is 839343.

3439380 = T419 + T420 + ... + T454.

It is a happy number.

3439380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7765 + ... + 8195.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 23439380 is an apocalyptic number.

3439380 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 3439380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3439380 is an abundant number, since it is smaller than the sum of its proper divisors (8172780).

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

3439380 is a wasteful number, since it uses less digits than its factorization.

3439380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3439380 is about 1854.5565507689. The cubic root of 3439380 is about 150.9477766280.

The spelling of 3439380 in words is "three million, four hundred thirty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 431 532 570 665 798 862 1140 1293 1330 1596 1724 1995 2155 2586 2660 3017 3990 4310 5172 6034 6465 7980 8189 8620 9051 12068 12930 15085 16378 18102 24567 25860 30170 32756 36204 40945 45255 49134 57323 60340 81890 90510 98268 114646 122835 163780 171969 181020 229292 245670 286615 343938 491340 573230 687876 859845 1146460 1719690 3439380