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424134240 = 2535883613
BaseRepresentation
bin11001010001111…
…100011001100000
31002120002020210120
4121101330121200
51332034243430
6110030400240
713340036655
oct3121743140
91076066716
10424134240
111a845a372
12ba060080
1369b4170a
1440487c2c
152737e610
hex1947c660

424134240 has 48 divisors (see below), whose sum is σ = 1336024368. Its totient is φ = 113102336.

The previous prime is 424134209. The next prime is 424134247. The reversal of 424134240 is 42431424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 424134240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424134247) 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 7 ways as a sum of consecutive naturals, for example, 441327 + ... + 442286.

It is an arithmetic number, because the mean of its divisors is an integer number (27833841).

Almost surely, 2424134240 is an apocalyptic number.

424134240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424134240 is an abundant number, since it is smaller than the sum of its proper divisors (911890128).

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

424134240 is a wasteful number, since it uses less digits than its factorization.

424134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883631 (or 883623 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 424134240 is about 20594.5196593657. The cubic root of 424134240 is about 751.3364260948.

Adding to 424134240 its reverse (42431424), we get a palindrome (466565664).

The spelling of 424134240 in words is "four hundred twenty-four million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 883613 1767226 2650839 3534452 4418065 5301678 7068904 8836130 10603356 13254195 14137808 17672260 21206712 26508390 28275616 35344520 42413424 53016780 70689040 84826848 106033560 141378080 212067120 424134240