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3443340040 = 235753331701
BaseRepresentation
bin1100110100111101…
…0011001100001000
322212222020210112121
43031033103030020
524022443340130
61325402421024
7151220623150
oct31517231410
98788223477
103443340040
111507748378
12801201774
1342b4bba1a
1424944d760
15152468d7a
hexcd3d3308

3443340040 has 128 divisors (see below), whose sum is σ = 9061528320. Its totient is φ = 1153152000.

The previous prime is 3443340031. The next prime is 3443340041. The reversal of 3443340040 is 400433443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3443339987 and 3443340014.

It is not an unprimeable number, because it can be changed into a prime (3443340041) 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, 4911690 + ... + 4912390.

It is an arithmetic number, because the mean of its divisors is an integer number (70793190).

Almost surely, 23443340040 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 3443340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530764160).

3443340040 is an abundant number, since it is smaller than the sum of its proper divisors (5618188280).

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

3443340040 is a wasteful number, since it uses less digits than its factorization.

3443340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 3443340040 is about 58679.9798909304. The cubic root of 3443340040 is about 1510.0568725564.

Adding to 3443340040 its reverse (400433443), we get a palindrome (3843773483).

The spelling of 3443340040 in words is "three billion, four hundred forty-three million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 331 371 424 530 662 701 742 1060 1324 1402 1484 1655 1855 2120 2317 2648 2804 2968 3310 3505 3710 4634 4907 5608 6620 7010 7420 9268 9814 11585 13240 14020 14840 17543 18536 19628 23170 24535 28040 35086 37153 39256 46340 49070 70172 74306 87715 92680 98140 122801 140344 148612 175430 185765 196280 232031 245602 260071 297224 350860 371530 464062 491204 520142 614005 701720 743060 928124 982408 1040284 1160155 1228010 1300355 1486120 1624217 1856248 2080568 2320310 2456020 2600710 3248434 4640620 4912040 5201420 6496868 8121085 9281240 10402840 12297643 12993736 16242170 24595286 32484340 49190572 61488215 64968680 86083501 98381144 122976430 172167002 245952860 344334004 430417505 491905720 688668008 860835010 1721670020 3443340040