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34010041 = 1311532269
BaseRepresentation
bin1000000110111…
…1001110111001
32100222220000011
42001233032321
532201310131
63212541521
7562036432
oct201571671
970886004
1034010041
111821a27a
12b4818a1
13707a2b0
144734489
152ebc0b1
hex206f3b9

34010041 has 8 divisors (see below), whose sum is σ = 36674120. Its totient is φ = 31352832.

The previous prime is 34010023. The next prime is 34010059. The reversal of 34010041 is 14001043.

It is an interprime number because it is at equal distance from previous prime (34010023) and next prime (34010059).

It can be written as a sum of positive squares in 4 ways, for example, as 137641 + 33872400 = 371^2 + 5820^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34010041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34011041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13855 + ... + 16123.

It is an arithmetic number, because the mean of its divisors is an integer number (4584265).

Almost surely, 234010041 is an apocalyptic number.

It is an amenable number.

34010041 is a deficient number, since it is larger than the sum of its proper divisors (2664079).

34010041 is a wasteful number, since it uses less digits than its factorization.

34010041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 34010041 is about 5831.8128399324. The cubic root of 34010041 is about 323.9930681086.

Adding to 34010041 its reverse (14001043), we get a palindrome (48011084).

The spelling of 34010041 in words is "thirty-four million, ten thousand, forty-one".

Divisors: 1 13 1153 2269 14989 29497 2616157 34010041