Search a number
-
+
434512336 = 24291735413
BaseRepresentation
bin11001111001100…
…010000111010000
31010021121111212111
4121321202013100
51342213343321
6111041035104
713524202546
oct3171420720
91107544774
10434512336
112032a8605
12101625a94
136c0363bb
14419c9d96
152822e5e1
hex19e621d0

434512336 has 40 divisors (see below), whose sum is σ = 876093480. Its totient is φ = 208513536.

The previous prime is 434512241. The next prime is 434512363. The reversal of 434512336 is 633215434.

It can be written as a sum of positive squares in 4 ways, for example, as 98010000 + 336502336 = 9900^2 + 18344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434512298 and 434512307.

It is a congruent number.

It is an unprimeable number.

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, 77566 + ... + 82978.

It is an arithmetic number, because the mean of its divisors is an integer number (21902337).

Almost surely, 2434512336 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 434512336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438046740).

434512336 is an abundant number, since it is smaller than the sum of its proper divisors (441581144).

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

434512336 is a wasteful number, since it uses less digits than its factorization.

434512336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623 (or 5617 counting only the distinct ones).

The product of its digits is 25920, while the sum is 31.

The square root of 434512336 is about 20844.9594866481. The cubic root of 434512336 is about 757.4152357889.

The spelling of 434512336 in words is "four hundred thirty-four million, five hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 116 173 232 346 464 692 1384 2768 5017 5413 10034 10826 20068 21652 40136 43304 80272 86608 156977 313954 627908 936449 1255816 1872898 2511632 3745796 7491592 14983184 27157021 54314042 108628084 217256168 434512336