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2325840 = 243511881
BaseRepresentation
bin1000110111110101010000
311101011110020
420313311100
51043411330
6121503440
725524606
oct10676520
94334406
102325840
111349490
12941b80
1363584a
14447876
1530e210
hex237d50

2325840 has 80 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 563200.

The previous prime is 2325833. The next prime is 2325871. The reversal of 2325840 is 485232.

2325840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2325840.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2200 + ... + 3080.

22325840 is an apocalyptic number.

2325840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2325840 is an abundant number, since it is smaller than the sum of its proper divisors (5548656).

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

2325840 is a wasteful number, since it uses less digits than its factorization.

2325840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2325840 is about 1525.0704901741. The cubic root of 2325840 is about 132.4931051355.

The spelling of 2325840 in words is "two million, three hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 881 1320 1762 2640 2643 3524 4405 5286 7048 8810 9691 10572 13215 14096 17620 19382 21144 26430 29073 35240 38764 42288 48455 52860 58146 70480 77528 96910 105720 116292 145365 155056 193820 211440 232584 290730 387640 465168 581460 775280 1162920 2325840