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3442324041 = 3313293110909
BaseRepresentation
bin1100110100101101…
…1011001001001001
322212220100011212000
43031023123021021
524022213332131
61325324541213
7151206162102
oct31513331111
98786304760
103442324041
111507114002
128009b1809
1342b224440
142492673a9
15152317ce6
hexcd2db249

3442324041 has 64 divisors (see below), whose sum is σ = 5865216000. Its totient is φ = 1979147520.

The previous prime is 3442324013. The next prime is 3442324079. The reversal of 3442324041 is 1404232443.

It is a happy number.

3442324041 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3442324041 - 25 = 3442324009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3442323996 and 3442324014.

It is not an unprimeable number, because it can be changed into a prime (3442324091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310095 + ... + 321003.

It is an arithmetic number, because the mean of its divisors is an integer number (91644000).

Almost surely, 23442324041 is an apocalyptic number.

3442324041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3442324041 is a deficient number, since it is larger than the sum of its proper divisors (2422891959).

3442324041 is a wasteful number, since it uses less digits than its factorization.

3442324041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10991 (or 10985 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3442324041 is about 58671.3221344125. The cubic root of 3442324041 is about 1509.9083377834.

Adding to 3442324041 its reverse (1404232443), we get a palindrome (4846556484).

The spelling of 3442324041 in words is "three billion, four hundred forty-two million, three hundred twenty-four thousand, forty-one".

Divisors: 1 3 9 13 27 29 31 39 87 93 117 261 279 351 377 403 783 837 899 1131 1209 2697 3393 3627 8091 10179 10881 10909 11687 24273 32727 35061 98181 105183 141817 294543 315549 316361 338179 425451 949083 1014537 1276353 2847249 3043611 3829059 4112693 4396327 8541747 9130833 9807191 12338079 13188981 29421573 37014237 39566943 88264719 111042711 118700829 127493483 264794157 382480449 1147441347 3442324041