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2432380 = 2251937173
BaseRepresentation
bin1001010001110101111100
311120120121011
421101311330
51110314010
6124045004
726450326
oct11216574
94516534
102432380
111411535
12993764
136721a2
14474616
15330a8a
hex251d7c

2432380 has 48 divisors (see below), whose sum is σ = 5554080. Its totient is φ = 891648.

The previous prime is 2432371. The next prime is 2432387. The reversal of 2432380 is 832342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432387) 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, 13974 + ... + 14146.

It is an arithmetic number, because the mean of its divisors is an integer number (115710).

22432380 is an apocalyptic number.

2432380 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 2432380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777040).

2432380 is an abundant number, since it is smaller than the sum of its proper divisors (3121700).

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

2432380 is a wasteful number, since it uses less digits than its factorization.

2432380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2432380 is about 1559.6089253399. The cubic root of 2432380 is about 134.4860200226.

The spelling of 2432380 in words is "two million, four hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 173 185 190 346 370 380 692 703 740 865 1406 1730 2812 3287 3460 3515 6401 6574 7030 12802 13148 14060 16435 25604 32005 32870 64010 65740 121619 128020 243238 486476 608095 1216190 2432380