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34348041 = 32713172467
BaseRepresentation
bin1000001100000…
…1110000001001
32101122001122200
42003001300021
532243114131
63224110413
7564645030
oct203016011
971561580
1034348041
1118430212
12b605409
1371680b0
1447c1717
1530372e6
hex20c1c09

34348041 has 48 divisors (see below), whose sum is σ = 64681344. Its totient is φ = 17044992.

The previous prime is 34348003. The next prime is 34348073. The reversal of 34348041 is 14084343.

It is not a de Polignac number, because 34348041 - 27 = 34347913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34347996 and 34348014.

It is not an unprimeable number, because it can be changed into a prime (34348091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12690 + ... + 15156.

It is an arithmetic number, because the mean of its divisors is an integer number (1347528).

Almost surely, 234348041 is an apocalyptic number.

It is an amenable number.

34348041 is a deficient number, since it is larger than the sum of its proper divisors (30333303).

34348041 is a wasteful number, since it uses less digits than its factorization.

34348041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34348041 is about 5860.7201775891. The cubic root of 34348041 is about 325.0628391312.

It can be divided in two parts, 343 and 48041, that added together give a palindrome (48384).

The spelling of 34348041 in words is "thirty-four million, three hundred forty-eight thousand, forty-one".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 1071 1547 1989 2467 4641 7401 13923 17269 22203 32071 41939 51807 96213 125817 155421 224497 288639 293573 377451 545207 673491 880719 1635621 2020473 2642157 3816449 4906863 11449347 34348041