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3460380 = 22357211107
BaseRepresentation
bin1101001100110100011100
320111210202020
431030310130
51341213010
6202100140
741261400
oct15146434
96453666
103460380
111a53920
1211aa650
13942081
14661100
15485470
hex34cd1c

3460380 has 144 divisors (see below), whose sum is σ = 12410496. Its totient is φ = 712320.

The previous prime is 3460363. The next prime is 3460381. The reversal of 3460380 is 830643.

3460380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 3460380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3460381) 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 47 ways as a sum of consecutive naturals, for example, 32287 + ... + 32393.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

Almost surely, 23460380 is an apocalyptic number.

3460380 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 3460380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205248).

3460380 is an abundant number, since it is smaller than the sum of its proper divisors (8950116).

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

3460380 is a wasteful number, since it uses less digits than its factorization.

3460380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3460380 is about 1860.2096656022. The cubic root of 3460380 is about 151.2543700215.

The spelling of 3460380 in words is "three million, four hundred sixty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 107 110 132 140 147 154 165 196 210 214 220 231 245 294 308 321 330 385 420 428 462 490 535 539 588 642 660 735 749 770 924 980 1070 1078 1155 1177 1284 1470 1498 1540 1605 1617 2140 2156 2247 2310 2354 2695 2940 2996 3210 3234 3531 3745 4494 4620 4708 5243 5390 5885 6420 6468 7062 7490 8085 8239 8988 10486 10780 11235 11770 14124 14980 15729 16170 16478 17655 20972 22470 23540 24717 26215 31458 32340 32956 35310 41195 44940 49434 52430 57673 62916 70620 78645 82390 98868 104860 115346 123585 157290 164780 173019 230692 247170 288365 314580 346038 494340 576730 692076 865095 1153460 1730190 3460380