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4341331434 = 2311378321419
BaseRepresentation
bin1000000101100001…
…10111010111101010
3102012112222111011010
410002300313113222
532342340101214
61554441444350
7212403464646
oct40260672752
912175874133
104341331434
111928628620
12a11aa06b6
1354256108b
142d2805c26
151a61ea659
hex102c375ea

4341331434 has 64 divisors (see below), whose sum is σ = 9845660160. Its totient is φ = 1264518720.

The previous prime is 4341331417. The next prime is 4341331439.

4341331434 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4341331439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191977 + ... + 213395.

It is an arithmetic number, because the mean of its divisors is an integer number (153838440).

Almost surely, 24341331434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4341331434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922830080).

4341331434 is an abundant number, since it is smaller than the sum of its proper divisors (5504328726).

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

4341331434 is a wasteful number, since it uses less digits than its factorization.

4341331434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21555.

The product of its digits is 20736, while the sum is 30.

The square root of 4341331434 is about 65888.7807900556. The cubic root of 4341331434 is about 1631.3268373959.

It can be divided in two parts, 43413 and 31434, that added together give a palindrome (74847).

The spelling of 4341331434 in words is "four billion, three hundred forty-one million, three hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 83 111 166 222 249 407 498 814 913 1221 1826 2442 2739 3071 5478 6142 9213 18426 21419 33781 42838 64257 67562 101343 128514 202686 235609 471218 706827 792503 1413654 1585006 1777777 2377509 3555554 4755018 5333331 8717533 10666662 17435066 19555547 26152599 39111094 52305198 58666641 65777749 117333282 131555498 197333247 394666494 723555239 1447110478 2170665717 4341331434