Search a number
-
+
3445305354 = 234591093307
BaseRepresentation
bin1100110101011011…
…0011000000001010
322220002221122110000
43031112303000022
524023444232404
61325512503430
7151243420011
oct31526630012
98802848400
103445305354
11150886a9a7
128019aab76
1342ba2942a
14249801a78
15152706339
hexcd5b300a

3445305354 has 80 divisors (see below), whose sum is σ = 7925306400. Its totient is φ = 1118274336.

The previous prime is 3445305341. The next prime is 3445305389. The reversal of 3445305354 is 4535035443.

3445305354 is a `hidden beast` number, since 344 + 5 + 305 + 3 + 5 + 4 = 666.

It is a Curzon number.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1040169 + ... + 1043475.

It is an arithmetic number, because the mean of its divisors is an integer number (99066330).

Almost surely, 23445305354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3445305354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962653200).

3445305354 is an abundant number, since it is smaller than the sum of its proper divisors (4480001046).

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

3445305354 is a wasteful number, since it uses less digits than its factorization.

3445305354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The square root of 3445305354 is about 58696.7235371788. The cubic root of 3445305354 is about 1510.3441102807.

The spelling of 3445305354 in words is "three billion, four hundred forty-five million, three hundred five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 59 81 109 118 162 177 218 327 354 531 654 981 1062 1593 1962 2943 3186 3307 4779 5886 6431 6614 8829 9558 9921 12862 17658 19293 19842 29763 38586 57879 59526 89289 115758 173637 178578 195113 267867 347274 360463 390226 520911 535734 585339 720926 1041822 1081389 1170678 1756017 2162778 3244167 3512034 5268051 6488334 9732501 10536102 15804153 19465002 21267317 29197503 31608306 42534634 58395006 63801951 127603902 191405853 382811706 574217559 1148435118 1722652677 3445305354