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2431940 = 225729599
BaseRepresentation
bin1001010001101111000100
311120112222212
421101233010
51110310230
6124042552
726446130
oct11215704
94515885
102431940
111411175
12993458
13671c24
144743c0
15330895
hex251bc4

2431940 has 48 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 803712.

The previous prime is 2431937. The next prime is 2431967. The reversal of 2431940 is 491342.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3761 + ... + 4359.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

22431940 is an apocalyptic number.

2431940 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 2431940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2431940 is an abundant number, since it is smaller than the sum of its proper divisors (3616060).

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

2431940 is a wasteful number, since it uses less digits than its factorization.

2431940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2431940 is about 1559.4678579567. The cubic root of 2431940 is about 134.4779103499.

The spelling of 2431940 in words is "two million, four hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 599 812 1015 1198 2030 2396 2995 4060 4193 5990 8386 11980 16772 17371 20965 34742 41930 69484 83860 86855 121597 173710 243194 347420 486388 607985 1215970 2431940