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3445775442 = 232376189953
BaseRepresentation
bin1100110101100010…
…0101110001010010
322220010211112021200
43031120211301102
524024104303232
61325530532030
7151250415354
oct31530456122
98803745250
103445775442
1115090610aa
12801b97016
1342bb623a5
142498c50d4
1515279a77c
hexcd625c52

3445775442 has 96 divisors (see below), whose sum is σ = 7889160240. Its totient is φ = 1085736960.

The previous prime is 3445775401. The next prime is 3445775449. The reversal of 3445775442 is 2445775443.

3445775442 is a `hidden beast` number, since 34 + 4 + 5 + 77 + 544 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 800833401 + 2644942041 = 28299^2 + 51429^2 .

It is not an unprimeable number, because it can be changed into a prime (3445775449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3615238 + ... + 3616190.

Almost surely, 23445775442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3445775442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944580120).

3445775442 is an abundant number, since it is smaller than the sum of its proper divisors (4443384798).

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

3445775442 is a wasteful number, since it uses less digits than its factorization.

3445775442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1145 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 45.

The square root of 3445775442 is about 58700.7277808376. The cubic root of 3445775442 is about 1510.4127991467.

Subtracting from 3445775442 its reverse (2445775443), we obtain a palindrome (999999999).

The spelling of 3445775442 in words is "three billion, four hundred forty-five million, seven hundred seventy-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 37 61 74 89 111 122 178 183 222 267 333 366 534 549 666 801 953 1098 1602 1906 2257 2859 3293 4514 5429 5718 6586 6771 8577 9879 10858 13542 16287 17154 19758 20313 29637 32574 35261 40626 48861 58133 59274 70522 84817 97722 105783 116266 169634 174399 200873 211566 254451 317349 348798 401746 508902 523197 602619 634698 763353 1046394 1205238 1526706 1807857 2150921 3138229 3615714 4301842 5173837 6276458 6452763 9414687 10347674 12905526 15521511 18829374 19358289 28244061 31043022 38716578 46564533 56488122 93129066 191431969 382863938 574295907 1148591814 1722887721 3445775442