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2380788 = 2232411613
BaseRepresentation
bin1001000101001111110100
311110221211100
421011033310
51102141123
6123010100
726144034
oct11051764
94427740
102380788
1113867a3
12969930
13654867
1445d8c4
15320643
hex2453f4

2380788 has 36 divisors (see below), whose sum is σ = 6168708. Its totient is φ = 773760.

The previous prime is 2380787. The next prime is 2380793. The reversal of 2380788 is 8870832.

2380788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 685584 + 1695204 = 828^2 + 1302^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670 + ... + 2282.

It is an arithmetic number, because the mean of its divisors is an integer number (171353).

22380788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084354).

2380788 is an abundant number, since it is smaller than the sum of its proper divisors (3787920).

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

2380788 is a wasteful number, since it uses less digits than its factorization.

2380788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2380788 is about 1542.9802331851. The cubic root of 2380788 is about 133.5283784303.

The spelling of 2380788 in words is "two million, three hundred eighty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1613 3226 4839 6452 9678 14517 19356 29034 58068 66133 132266 198399 264532 396798 595197 793596 1190394 2380788