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431212040 = 23573834021
BaseRepresentation
bin11001101100111…
…100011000001000
31010001101211201022
4121230330120020
51340342241130
6110442212012
713454145650
oct3154743010
91101354638
10431212040
11201453a96
121004b4008
136b44c16c
14413ab360
1527ccb7e5
hex19b3c608

431212040 has 64 divisors (see below), whose sum is σ = 1112002560. Its totient is φ = 147421440.

The previous prime is 431212013. The next prime is 431212043. The reversal of 431212040 is 40212134.

It is not an unprimeable number, because it can be changed into a prime (431212043) 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 15 ways as a sum of consecutive naturals, for example, 105230 + ... + 109250.

It is an arithmetic number, because the mean of its divisors is an integer number (17375040).

Almost surely, 2431212040 is an apocalyptic number.

431212040 is a gapful number since it is divisible by the number (40) 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 431212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556001280).

431212040 is an abundant number, since it is smaller than the sum of its proper divisors (680790520).

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

431212040 is a wasteful number, since it uses less digits than its factorization.

431212040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 431212040 is about 20765.6456677850. The cubic root of 431212040 is about 755.4927356780.

Adding to 431212040 its reverse (40212134), we get a palindrome (471424174).

The spelling of 431212040 in words is "four hundred thirty-one million, two hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 383 766 1532 1915 2681 3064 3830 4021 5362 7660 8042 10724 13405 15320 16084 20105 21448 26810 28147 32168 40210 53620 56294 80420 107240 112588 140735 160840 225176 281470 562940 1125880 1540043 3080086 6160172 7700215 10780301 12320344 15400430 21560602 30800860 43121204 53901505 61601720 86242408 107803010 215606020 431212040