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2405340 = 2232572383
BaseRepresentation
bin1001001011001111011100
311112012111200
421023033130
51103432330
6123315500
726305440
oct11131734
94465450
102405340
1113a3193
1297bb90
13662aa2
14468820
15327a60
hex24b3dc

2405340 has 144 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 519552.

The previous prime is 2405339. The next prime is 2405341. The reversal of 2405340 is 435042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2405339) and next prime (2405341).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28939 + ... + 29021.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

22405340 is an apocalyptic number.

2405340 is a gapful number since it is divisible by the number (20) 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 2405340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

2405340 is an abundant number, since it is smaller than the sum of its proper divisors (6400548).

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

2405340 is a wasteful number, since it uses less digits than its factorization.

2405340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2405340 is about 1550.9158584527. The cubic root of 2405340 is about 133.9858156813.

The spelling of 2405340 in words is "two million, four hundred five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 83 84 90 92 105 115 126 138 140 161 166 180 207 210 230 249 252 276 315 322 332 345 414 415 420 460 483 498 581 630 644 690 747 805 828 830 966 996 1035 1162 1245 1260 1380 1449 1494 1610 1660 1743 1909 1932 2070 2324 2415 2490 2898 2905 2988 3220 3486 3735 3818 4140 4830 4980 5229 5727 5796 5810 6972 7245 7470 7636 8715 9545 9660 10458 11454 11620 13363 14490 14940 17181 17430 19090 20916 22908 26145 26726 28635 28980 34362 34860 38180 40089 52290 53452 57270 66815 68724 80178 85905 104580 114540 120267 133630 160356 171810 200445 240534 267260 343620 400890 481068 601335 801780 1202670 2405340