[go: up one dir, main page]

Search a number
-
+
424466304 = 2736118121
BaseRepresentation
bin11001010011001…
…101011110000000
31002120201010022020
4121103031132000
51332130410204
6110041441440
713342622043
oct3123153600
91076633266
10424466304
111a86668a9
12ba1a0280
1369c298c2
1440532c5a
15273e7bd9
hex194cd780

424466304 has 64 divisors (see below), whose sum is σ = 1146035280. Its totient is φ = 139161600.

The previous prime is 424466293. The next prime is 424466309. The reversal of 424466304 is 403664424.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424466309) 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, 14364 + ... + 32484.

Almost surely, 2424466304 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 424466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573017640).

424466304 is an abundant number, since it is smaller than the sum of its proper divisors (721568976).

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

424466304 is a wasteful number, since it uses less digits than its factorization.

424466304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18199 (or 18187 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 424466304 is about 20602.5800326076. The cubic root of 424466304 is about 751.5324542017.

The spelling of 424466304 in words is "four hundred twenty-four million, four hundred sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2928 3904 5856 7808 11712 18121 23424 36242 54363 72484 108726 144968 217452 289936 434904 579872 869808 1105381 1159744 1739616 2210762 2319488 3316143 3479232 4421524 6632286 6958464 8843048 13264572 17686096 26529144 35372192 53058288 70744384 106116576 141488768 212233152 424466304