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2380068 = 2232173889
BaseRepresentation
bin1001000101000100100100
311110220211200
421011010210
51102130233
6123002500
726141655
oct11050444
94426750
102380068
1113861a9
12969430
13654432
1445d52c
15320313
hex245124

2380068 has 36 divisors (see below), whose sum is σ = 6371820. Its totient is φ = 746496.

The previous prime is 2380043. The next prime is 2380069. The reversal of 2380068 is 8600832.

It can be written as a sum of positive squares in 2 ways, for example, as 1790244 + 589824 = 1338^2 + 768^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2380069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1333 + ... + 2556.

It is an arithmetic number, because the mean of its divisors is an integer number (176995).

22380068 is an apocalyptic number.

It is an amenable number.

2380068 is an abundant number, since it is smaller than the sum of its proper divisors (3991752).

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

2380068 is a wasteful number, since it uses less digits than its factorization.

2380068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2380068 is about 1542.7469008233. The cubic root of 2380068 is about 133.5149164833.

Subtracting from 2380068 its product of nonzero digits (2304), we obtain a square (2377764 = 15422).

The spelling of 2380068 in words is "two million, three hundred eighty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3889 7778 11667 15556 23334 35001 46668 66113 70002 132226 140004 198339 264452 396678 595017 793356 1190034 2380068