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2329380 = 2232512941
BaseRepresentation
bin1000111000101100100100
311101100022100
420320230210
51044020010
6121532100
725541124
oct10705444
94340270
102329380
111351109
12944030
13637341
14448c84
153102c0
hex238b24

2329380 has 36 divisors (see below), whose sum is σ = 7066332. Its totient is φ = 621120.

The previous prime is 2329339. The next prime is 2329387. The reversal of 2329380 is 839232.

It can be written as a sum of positive squares in 2 ways, for example, as 1313316 + 1016064 = 1146^2 + 1008^2 .

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

It is a super-2 number, since 2×23293802 = 10852022368800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2329387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6291 + ... + 6650.

It is an arithmetic number, because the mean of its divisors is an integer number (196287).

22329380 is an apocalyptic number.

2329380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2329380 is an abundant number, since it is smaller than the sum of its proper divisors (4736952).

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

2329380 is a wasteful number, since it uses less digits than its factorization.

2329380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12956 (or 12951 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2329380 is about 1526.2306509830. The cubic root of 2329380 is about 132.5602905876.

It can be divided in two parts, 23 and 29380, that added together give a triangular number (29403 = T242).

The spelling of 2329380 in words is "two million, three hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12941 25882 38823 51764 64705 77646 116469 129410 155292 194115 232938 258820 388230 465876 582345 776460 1164690 2329380