Search a number
-
+
2382240 = 25357709
BaseRepresentation
bin1001000101100110100000
311111000211010
421011212200
51102212430
6123020520
726151210
oct11054640
94430733
102382240
1113878a3
1296a740
13655413
14460240
15320cb0
hex2459a0

2382240 has 96 divisors (see below), whose sum is σ = 8588160. Its totient is φ = 543744.

The previous prime is 2382221. The next prime is 2382251. The reversal of 2382240 is 422832.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3006 + ... + 3714.

It is an arithmetic number, because the mean of its divisors is an integer number (89460).

22382240 is an apocalyptic number.

2382240 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 2382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294080).

2382240 is an abundant number, since it is smaller than the sum of its proper divisors (6205920).

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

2382240 is a wasteful number, since it uses less digits than its factorization.

2382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2382240 is about 1543.4506794841. The cubic root of 2382240 is about 133.5555184366. Note that the first 4 decimals are identical.

The spelling of 2382240 in words is "two million, three hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 709 840 1120 1418 1680 2127 2836 3360 3545 4254 4963 5672 7090 8508 9926 10635 11344 14180 14889 17016 19852 21270 22688 24815 28360 29778 34032 39704 42540 49630 56720 59556 68064 74445 79408 85080 99260 113440 119112 148890 158816 170160 198520 238224 297780 340320 397040 476448 595560 794080 1191120 2382240