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34374000001 = 1123315718537
BaseRepresentation
bin100000000000110110…
…011001110110000001
310021201120202010101011
4200000312121312001
51030344221000001
623442522040521
72324551115305
oct400066316601
9107646663334
1034374000001
111363a254a70
1267b3949141
13331a623993
141941315d05
15d62b28d51
hex800d99d81

34374000001 has 16 divisors (see below), whose sum is σ = 37688234688. Its totient is φ = 31091526400.

The previous prime is 34373999993. The next prime is 34374000013. The reversal of 34374000001 is 10000047343.

It is a happy number.

It is not a de Polignac number, because 34374000001 - 23 = 34373999993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34374001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4022205 + ... + 4030741.

It is an arithmetic number, because the mean of its divisors is an integer number (2355514668).

Almost surely, 234374000001 is an apocalyptic number.

It is an amenable number.

34374000001 is a deficient number, since it is larger than the sum of its proper divisors (3314234687).

34374000001 is a wasteful number, since it uses less digits than its factorization.

34374000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10352.

The product of its (nonzero) digits is 1008, while the sum is 22.

Adding to 34374000001 its reverse (10000047343), we get a palindrome (44374047344).

The spelling of 34374000001 in words is "thirty-four billion, three hundred seventy-four million, one", and thus it is an aban number.

Divisors: 1 11 233 1571 2563 8537 17281 93907 366043 1989121 4026473 13411627 21880331 147527897 3124909091 34374000001