Search a number
-
+
2320830 = 2325107241
BaseRepresentation
bin1000110110100110111110
311100220120200
420312212332
51043231310
6121424330
725504161
oct10664676
94326520
102320830
111345746
1293b0a6
13633495
14445ad8
1530c9c0
hex2369be

2320830 has 48 divisors (see below), whose sum is σ = 6115824. Its totient is φ = 610560.

The previous prime is 2320811. The next prime is 2320837. The reversal of 2320830 is 380232.

2320830 = 912 + 922 + ... + 1972.

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

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9510 + ... + 9750.

It is an arithmetic number, because the mean of its divisors is an integer number (127413).

22320830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057912).

2320830 is an abundant number, since it is smaller than the sum of its proper divisors (3794994).

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

2320830 is a wasteful number, since it uses less digits than its factorization.

2320830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2320830 is about 1523.4270576565. The cubic root of 2320830 is about 132.3979040264.

The spelling of 2320830 in words is "two million, three hundred twenty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 241 321 482 535 642 723 963 1070 1205 1446 1605 1926 2169 2410 3210 3615 4338 4815 7230 9630 10845 21690 25787 51574 77361 128935 154722 232083 257870 386805 464166 773610 1160415 2320830