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2380830 = 235611301
BaseRepresentation
bin1001000101010000011110
311110221212220
421011100132
51102141310
6123010210
726144124
oct11052036
94427786
102380830
111386831
12969966
1365489a
1445d914
15320670
hex24541e

2380830 has 32 divisors (see below), whose sum is σ = 5812128. Its totient is φ = 624000.

The previous prime is 2380811. The next prime is 2380837. The reversal of 2380830 is 380832.

2380830 is nontrivially palindromic in base 11.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2380830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180 + ... + 2480.

It is an arithmetic number, because the mean of its divisors is an integer number (181629).

22380830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906064).

2380830 is an abundant number, since it is smaller than the sum of its proper divisors (3431298).

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

2380830 is a wasteful number, since it uses less digits than its factorization.

2380830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2380830 is about 1542.9938431504. The cubic root of 2380830 is about 133.5291636268.

The spelling of 2380830 in words is "two million, three hundred eighty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1301 1830 2602 3903 6505 7806 13010 19515 39030 79361 158722 238083 396805 476166 793610 1190415 2380830