Search a number
-
+
423844224 = 2734126921
BaseRepresentation
bin11001010000110…
…101100110000000
31002112112111222020
4121100311212000
51332001003344
6110020241440
713334421306
oct3120654600
91075474866
10423844224
111a8281491
12b9b40280
1369a6c6cb
1440410276
1527323719
hex19435980

423844224 has 64 divisors (see below), whose sum is σ = 1153338480. Its totient is φ = 137830400.

The previous prime is 423844159. The next prime is 423844241. The reversal of 423844224 is 422448324.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2284 + ... + 29204.

Almost surely, 2423844224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423844224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576669240).

423844224 is an abundant number, since it is smaller than the sum of its proper divisors (729494256).

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

423844224 is a wasteful number, since it uses less digits than its factorization.

423844224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26979 (or 26967 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

The square root of 423844224 is about 20587.4773588218. The cubic root of 423844224 is about 751.1651365606.

The spelling of 423844224 in words is "four hundred twenty-three million, eight hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 26921 53842 80763 107684 161526 215368 323052 430736 646104 861472 1103761 1292208 1722944 2207522 2584416 3311283 3445888 4415044 5168832 6622566 8830088 10337664 13245132 17660176 26490264 35320352 52980528 70640704 105961056 141281408 211922112 423844224