Search a number
-
+
4342410040 = 2354143139443
BaseRepresentation
bin1000000101101001…
…11110101100111000
3102012122000021201111
410002310332230320
532343124110130
61554520530104
7212415606403
oct40264765470
912178007644
104342410040
1119291a4a31
12a12320934
1354284acc7
142d2a06d3a
151a636002a
hex102d3eb38

4342410040 has 128 divisors (see below), whose sum is σ = 10338451200. Its totient is φ = 1639572480.

The previous prime is 4342410031. The next prime is 4342410047. The reversal of 4342410040 is 400142434.

It is a junction number, because it is equal to n+sod(n) for n = 4342409993 and 4342410020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342410047) 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, 9802059 + ... + 9802501.

It is an arithmetic number, because the mean of its divisors is an integer number (80769150).

Almost surely, 24342410040 is an apocalyptic number.

4342410040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169225600).

4342410040 is an abundant number, since it is smaller than the sum of its proper divisors (5996041160).

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

4342410040 is a wasteful number, since it uses less digits than its factorization.

4342410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4342410040 is about 65896.9653322518. The cubic root of 4342410040 is about 1631.4619275359.

Adding to 4342410040 its reverse (400142434), we get a palindrome (4742552474).

The spelling of 4342410040 in words is "four billion, three hundred forty-two million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 43 82 86 139 164 172 205 215 278 328 344 410 430 443 556 695 820 860 886 1112 1390 1640 1720 1763 1772 2215 2780 3526 3544 4430 5560 5699 5977 7052 8815 8860 11398 11954 14104 17630 17720 18163 19049 22796 23908 28495 29885 35260 36326 38098 45592 47816 56990 59770 61577 70520 72652 76196 90815 95245 113980 119540 123154 145304 152392 181630 190490 227960 239080 245057 246308 307885 363260 380980 490114 492616 615770 726520 761960 781009 980228 1225285 1231540 1562018 1960456 2450570 2463080 2524657 2647811 3124036 3905045 4901140 5049314 5295622 6248072 7810090 9802280 10098628 10591244 12623285 13239055 15620180 20197256 21182488 25246570 26478110 31240360 50493140 52956220 100986280 105912440 108560251 217120502 434241004 542801255 868482008 1085602510 2171205020 4342410040