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34071000337 = 11311011576301
BaseRepresentation
bin11111101110110010…
…100011010100010001
310020221110121010222101
4133232302203110101
51024234134002322
623352455440401
72314211503333
oct375662432421
9106843533871
1034071000337
11134a4211920
12672a386101
13329c91573a
141912da1453
15d46226327
hex7eeca3511

34071000337 has 32 divisors (see below), whose sum is σ = 39000204288. Its totient is φ = 29484000000.

The previous prime is 34071000289. The next prime is 34071000367. The reversal of 34071000337 is 73300017043.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34071000337 is a prime.

It is a super-2 number, since 2×340710003372 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34071000367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5404087 + ... + 5410387.

It is an arithmetic number, because the mean of its divisors is an integer number (1218756384).

Almost surely, 234071000337 is an apocalyptic number.

It is an amenable number.

34071000337 is a deficient number, since it is larger than the sum of its proper divisors (4929203951).

34071000337 is a wasteful number, since it uses less digits than its factorization.

34071000337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601.

The product of its (nonzero) digits is 5292, while the sum is 28.

The spelling of 34071000337 in words is "thirty-four billion, seventy-one million, three hundred thirty-seven", and thus it is an aban number.

Divisors: 1 11 31 101 157 341 1111 1727 3131 4867 6301 15857 34441 53537 69311 174427 195331 491567 636401 989257 2148641 5407237 7000411 10881827 19728431 30666967 99914957 217012741 337336637 1099064527 3097363667 34071000337