Search a number
-
+
424043440 = 24518712833
BaseRepresentation
bin11001010001100…
…110001110110000
31002112220122020121
4121101212032300
51332023342230
6110024420024
713336211152
oct3121461660
91075818217
10424043440
111a83a8127
12ba017614
1369b0c2a2
1440462ad2
152736277a
hex194663b0

424043440 has 40 divisors (see below), whose sum is σ = 986776128. Its totient is φ = 169466880.

The previous prime is 424043419. The next prime is 424043449. The reversal of 424043440 is 44340424.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (424043449) 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, 148264 + ... + 151096.

Almost surely, 2424043440 is an apocalyptic number.

424043440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424043440 is an abundant number, since it is smaller than the sum of its proper divisors (562732688).

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

424043440 is a wasteful number, since it uses less digits than its factorization.

424043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 424043440 is about 20592.3150714047. The cubic root of 424043440 is about 751.2828061085.

Adding to 424043440 its reverse (44340424), we get a palindrome (468383864).

The spelling of 424043440 in words is "four hundred twenty-four million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1871 2833 3742 5666 7484 9355 11332 14165 14968 18710 22664 28330 29936 37420 45328 56660 74840 113320 149680 226640 5300543 10601086 21202172 26502715 42404344 53005430 84808688 106010860 212021720 424043440