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3442930848 = 2532717100459
BaseRepresentation
bin1100110100110110…
…1111010010100000
322212221111000020100
43031031233102200
524022342241343
61325345542400
7151214300160
oct31515572240
98787430210
103442930848
1115074989a5
12801044a00
1342b3a76b6
142493845a0
151523d79d3
hexcd36f4a0

3442930848 has 144 divisors (see below), whose sum is σ = 11847850560. Its totient is φ = 925820928.

The previous prime is 3442930823. The next prime is 3442930859. The reversal of 3442930848 is 8480392443.

3442930848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15958 + ... + 84501.

It is an arithmetic number, because the mean of its divisors is an integer number (82276740).

Almost surely, 23442930848 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 3442930848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923925280).

3442930848 is an abundant number, since it is smaller than the sum of its proper divisors (8404919712).

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

3442930848 is a wasteful number, since it uses less digits than its factorization.

3442930848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100499 (or 100488 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3442930848 is about 58676.4931467449. The cubic root of 3442930848 is about 1509.9970539246.

The spelling of 3442930848 in words is "three billion, four hundred forty-two million, nine hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 100459 200918 301377 401836 602754 703213 803672 904131 1205508 1406426 1607344 1707803 1808262 2109639 2411016 2812852 3214688 3415606 3616524 4219278 4822032 5123409 5625704 6328917 6831212 7233048 8438556 9644064 10246818 11251408 11954621 12657834 13662424 14466096 15370227 16877112 20493636 22502816 23909242 25315668 27324848 28932192 30740454 33754224 35863863 40987272 47818484 50631336 54649696 61480908 67508448 71727726 81974544 95636968 101262672 107591589 122961816 143455452 163949088 191273936 202525344 215183178 245923632 286910904 382547872 430366356 491847264 573821808 860732712 1147643616 1721465424 3442930848