Search a number
-
+
424342128 = 24374130803
BaseRepresentation
bin11001010010101…
…111001001110000
31002120110210222010
4121102233021300
51332112422003
6110035042520
713341564030
oct3122571160
91076423863
10424342128
111a8591581
12ba140440
1369bb5222
14404dd8c0
15273c1003
hex194af270

424342128 has 80 divisors (see below), whose sum is σ = 1283417856. Its totient is φ = 118279680.

The previous prime is 424342099. The next prime is 424342129. The reversal of 424342128 is 821243424.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 424342095 and 424342104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424342129) 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, 1626 + ... + 29177.

Almost surely, 2424342128 is an apocalyptic number.

424342128 is a gapful number since it is divisible by the number (48) 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 424342128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641708928).

424342128 is an abundant number, since it is smaller than the sum of its proper divisors (859075728).

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

424342128 is a wasteful number, since it uses less digits than its factorization.

424342128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30862 (or 30856 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 424342128 is about 20599.5662090249. The cubic root of 424342128 is about 751.4591610687.

The spelling of 424342128 in words is "four hundred twenty-four million, three hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 13776 30803 61606 92409 123212 184818 215621 246424 369636 431242 492848 646863 739272 862484 1262923 1293726 1478544 1724968 2525846 2587452 3449936 3788769 5051692 5174904 7577538 8840461 10103384 10349808 15155076 17680922 20206768 26521383 30310152 35361844 53042766 60620304 70723688 106085532 141447376 212171064 424342128