Search a number
-
+
434883438 = 2331121931113
BaseRepresentation
bin11001111010111…
…100101101101110
31010022022100221000
4121322330231232
51342312232223
6111053021130
713530306513
oct3172745556
91108270830
10434883438
11203531400
121017847a6
136c1362a2
1441a8530a
15282a4543
hex19ebcb6e

434883438 has 192 divisors, whose sum is σ = 1164441600. Its totient is φ = 119750400.

The previous prime is 434883437. The next prime is 434883439. The reversal of 434883438 is 834388434.

It is an interprime number because it is at equal distance from previous prime (434883437) and next prime (434883439).

It is a junction number, because it is equal to n+sod(n) for n = 434883393 and 434883402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434883437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3848470 + ... + 3848582.

It is an arithmetic number, because the mean of its divisors is an integer number (6064800).

Almost surely, 2434883438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434883438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582220800).

434883438 is an abundant number, since it is smaller than the sum of its proper divisors (729558162).

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

434883438 is a wasteful number, since it uses less digits than its factorization.

434883438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 434883438 is about 20853.8590673285. The cubic root of 434883438 is about 757.6308018414.

The spelling of 434883438 in words is "four hundred thirty-four million, eight hundred eighty-three thousand, four hundred thirty-eight".