Search a number
-
+
434416024 = 2378393463
BaseRepresentation
bin11001111001001…
…010100110011000
31010021102121202101
4121321022212120
51342202303044
6111035013144
713523322010
oct3171124630
91107377671
10434416024
11203242209
1210159a1b4
136c001603
14419a2c40
1528210cd4
hex19e4a998

434416024 has 32 divisors (see below), whose sum is σ = 942117120. Its totient is φ = 183933216.

The previous prime is 434416013. The next prime is 434416039. The reversal of 434416024 is 420614434.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 434415983 and 434416001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42084 + ... + 51379.

It is an arithmetic number, because the mean of its divisors is an integer number (29441160).

Almost surely, 2434416024 is an apocalyptic number.

It is an amenable number.

434416024 is an abundant number, since it is smaller than the sum of its proper divisors (507701096).

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

434416024 is a wasteful number, since it uses less digits than its factorization.

434416024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93559 (or 93555 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 434416024 is about 20842.6491598357. The cubic root of 434416024 is about 757.3592699313.

The spelling of 434416024 in words is "four hundred thirty-four million, four hundred sixteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 83 166 332 581 664 1162 2324 4648 93463 186926 373852 654241 747704 1308482 2616964 5233928 7757429 15514858 31029716 54302003 62059432 108604006 217208012 434416024