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434938842 = 233131932609
BaseRepresentation
bin11001111011001…
…010001111011010
31010022102011221000
4121323022033122
51342321020332
6111054125430
713530630162
oct3173121732
91108364830
10434938842
11203569a98
121017b0876
136c155580
1441a9b5a2
15282b5b7c
hex19eca3da

434938842 has 64 divisors (see below), whose sum is σ = 1095696000. Its totient is φ = 126779904.

The previous prime is 434938813. The next prime is 434938849. The reversal of 434938842 is 248839434.

434938842 is a `hidden beast` number, since 43 + 493 + 88 + 42 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (434938849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2967 + ... + 29642.

It is an arithmetic number, because the mean of its divisors is an integer number (17120250).

Almost surely, 2434938842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434938842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547848000).

434938842 is an abundant number, since it is smaller than the sum of its proper divisors (660757158).

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

434938842 is a wasteful number, since it uses less digits than its factorization.

434938842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32652 (or 32646 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 434938842 is about 20855.1874122483. The cubic root of 434938842 is about 757.6629744428.

The spelling of 434938842 in words is "four hundred thirty-four million, nine hundred thirty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 13338 32609 65218 97827 195654 293481 423917 586962 619571 847834 880443 1239142 1271751 1760886 1858713 2543502 3717426 3815253 5576139 7630506 8054423 11152278 11445759 16108846 16728417 22891518 24163269 33456834 48326538 72489807 144979614 217469421 434938842