Search a number
-
+
2382015340 = 225298349481
BaseRepresentation
bin1000110111111010…
…1010101101101100
320011000011220202101
42031332222231230
514334243442330
61032210504444
7113012540065
oct21576525554
96130156671
102382015340
111012649421
12565895124
132bc65c943
141884db56c
15de1c24ca
hex8dfaab6c

2382015340 has 48 divisors (see below), whose sum is σ = 5237174880. Its totient is φ = 908848640.

The previous prime is 2382015329. The next prime is 2382015343. The reversal of 2382015340 is 435102832.

It is a junction number, because it is equal to n+sod(n) for n = 2382015299 and 2382015308.

It is not an unprimeable number, because it can be changed into a prime (2382015343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23400 + ... + 72880.

It is an arithmetic number, because the mean of its divisors is an integer number (109107810).

Almost surely, 22382015340 is an apocalyptic number.

2382015340 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 2382015340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618587440).

2382015340 is an abundant number, since it is smaller than the sum of its proper divisors (2855159540).

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

2382015340 is a wasteful number, since it uses less digits than its factorization.

2382015340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49602 (or 49600 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2382015340 is about 48805.8945210515. The cubic root of 2382015340 is about 1335.5131993349.

The spelling of 2382015340 in words is "two billion, three hundred eighty-two million, fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 290 332 415 580 830 1660 2407 4814 9628 12035 24070 48140 49481 98962 197924 247405 494810 989620 1434949 2869898 4106923 5739796 7174745 8213846 14349490 16427692 20534615 28698980 41069230 82138460 119100767 238201534 476403068 595503835 1191007670 2382015340