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3442909848 = 233731719311
BaseRepresentation
bin1100110100110110…
…1010001010011000
322212221102221102120
43031031222022120
524022341103343
61325345301240
7151214152020
oct31515521230
98787387376
103442909848
111507484144
12801034820
1342b39ac81
1424937aa80
151523d1683
hexcd36a298

3442909848 has 128 divisors (see below), whose sum is σ = 10298327040. Its totient is φ = 938448000.

The previous prime is 3442909843. The next prime is 3442909871. The reversal of 3442909848 is 8489092443.

It is a self number, because there is not a number n which added to its sum of digits gives 3442909848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442909843) 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, 365113 + ... + 374423.

It is an arithmetic number, because the mean of its divisors is an integer number (80455680).

Almost surely, 23442909848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442909848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149163520).

3442909848 is an abundant number, since it is smaller than the sum of its proper divisors (6855417192).

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

3442909848 is a wasteful number, since it uses less digits than its factorization.

3442909848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9429 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 3442909848 is about 58676.3141991724. The cubic root of 3442909848 is about 1509.9939838656.

It can be divided in two parts, 344 and 2909848, that added together give a palindrome (2910192).

The spelling of 3442909848 in words is "three billion, four hundred forty-two million, nine hundred nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 71 84 93 124 142 168 186 213 217 248 284 372 426 434 497 568 651 744 852 868 994 1302 1491 1704 1736 1988 2201 2604 2982 3976 4402 5208 5964 6603 8804 9311 11928 13206 15407 17608 18622 26412 27933 30814 37244 46221 52824 55866 61628 65177 74488 92442 111732 123256 130354 184884 195531 223464 260708 288641 369768 391062 521416 577282 661081 782124 865923 1154564 1322162 1564248 1731846 1983243 2020487 2309128 2644324 3463692 3966486 4040974 4627567 5288648 6061461 6927384 7932972 8081948 9255134 12122922 13882701 15865944 16163896 18510268 20493511 24245844 27765402 37020536 40987022 48491688 55530804 61480533 81974044 111061608 122961066 143454577 163948088 245922132 286909154 430363731 491844264 573818308 860727462 1147636616 1721454924 3442909848