Search a number
-
+
3442469706 = 235131732051
BaseRepresentation
bin1100110100101111…
…1110101101001010
322212220121120200000
43031023332231022
524022233012311
61325332023430
7151210336554
oct31513765512
98786546600
103442469706
111507203495
12800a61b76
1342b275830
142492a44d4
15152346056
hexcd2feb4a

3442469706 has 96 divisors (see below), whose sum is σ = 8820197568. Its totient is φ = 996883200.

The previous prime is 3442469671. The next prime is 3442469707. The reversal of 3442469706 is 6079642443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3442469707) 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 47 ways as a sum of consecutive naturals, for example, 91381 + ... + 123431.

It is an arithmetic number, because the mean of its divisors is an integer number (91877058).

Almost surely, 23442469706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442469706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410098784).

3442469706 is an abundant number, since it is smaller than the sum of its proper divisors (5377727862).

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

3442469706 is a wasteful number, since it uses less digits than its factorization.

3442469706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32098 (or 32086 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3442469706 is about 58672.5634858406. The cubic root of 3442469706 is about 1509.9296351873.

The spelling of 3442469706 in words is "three billion, four hundred forty-two million, four hundred sixty-nine thousand, seven hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 243 306 351 442 459 486 663 702 918 1053 1326 1377 1989 2106 2754 3159 3978 4131 5967 6318 8262 11934 17901 32051 35802 53703 64102 96153 107406 192306 288459 416663 544867 576918 833326 865377 1089734 1249989 1634601 1730754 2499978 2596131 3269202 3749967 4903803 5192262 7083271 7499934 7788393 9807606 11249901 14166542 14711409 15576786 21249813 22499802 29422818 33749703 42499626 44134227 63749439 67499406 88268454 101249109 127498878 132402681 191248317 202498218 264805362 382496634 573744951 1147489902 1721234853 3442469706