Search a number
-
+
2002412340 = 22355412019
BaseRepresentation
bin111011101011010…
…0110001100110100
312011112220002100000
41313112212030310
513100104143330
6530410351300
7100423136565
oct16726461464
95145802300
102002412340
11938345035
1247a72b530
1325bb10396
1414dd2616c
15babdc560
hex775a6334

2002412340 has 72 divisors (see below), whose sum is σ = 6298961760. Its totient is φ = 533975328.

The previous prime is 2002412333. The next prime is 2002412369. The reversal of 2002412340 is 432142002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201150 + ... + 210869.

It is an arithmetic number, because the mean of its divisors is an integer number (87485580).

Almost surely, 22002412340 is an apocalyptic number.

2002412340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002412340 is an abundant number, since it is smaller than the sum of its proper divisors (4296549420).

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

2002412340 is a wasteful number, since it uses less digits than its factorization.

2002412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412043 (or 412029 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2002412340 is about 44748.3222031843. The cubic root of 2002412340 is about 1260.4274060231.

Adding to 2002412340 its reverse (432142002), we get a palindrome (2434554342).

The spelling of 2002412340 in words is "two billion, two million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 412019 824038 1236057 1648076 2060095 2472114 3708171 4120190 4944228 6180285 7416342 8240380 11124513 12360570 14832684 18540855 22249026 24721140 33373539 37081710 44498052 55622565 66747078 74163420 100120617 111245130 133494156 166867695 200241234 222490260 333735390 400482468 500603085 667470780 1001206170 2002412340