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34400028317 = 291441982267
BaseRepresentation
bin100000000010011001…
…101100011010011101
310021210101201111111212
4200002121230122131
51030422401401232
623445251554205
72325315262514
oct400231543235
9107711644455
1034400028317
1113652a12476
1268005bb965
133322b37c55
14194496d67b
15d6506aeb2
hex80266c69d

34400028317 has 8 divisors (see below), whose sum is σ = 35589136800. Its totient is φ = 33211113264.

The previous prime is 34400028233. The next prime is 34400028319. The reversal of 34400028317 is 71382000443.

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

It is a cyclic number.

It is not a de Polignac number, because 34400028317 - 210 = 34400027293 is a prime.

It is a super-3 number, since 3×344000283173 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400028319) 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, 377018 + ... + 459284.

It is an arithmetic number, because the mean of its divisors is an integer number (4448642100).

Almost surely, 234400028317 is an apocalyptic number.

It is an amenable number.

34400028317 is a deficient number, since it is larger than the sum of its proper divisors (1189108483).

34400028317 is a wasteful number, since it uses less digits than its factorization.

34400028317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96715.

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 34400028317 in words is "thirty-four billion, four hundred million, twenty-eight thousand, three hundred seventeen".

Divisors: 1 29 14419 82267 418151 2385743 1186207873 34400028317