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34271997696 = 283329374621
BaseRepresentation
bin11111111010110001…
…010010111100000000
310021110110210212112000
4133322301102330000
51030142112411241
623424435504000
72322202113426
oct377261227400
9107413725460
1034271997696
1113597716142
126785758000
13330245b9a1
141931963116
15d58bcaeb6
hex7fac52f00

34271997696 has 288 divisors, whose sum is σ = 107699995200. Its totient is φ = 10729635840.

The previous prime is 34271997689. The next prime is 34271997701. The reversal of 34271997696 is 69679917243.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7414266 + ... + 7418886.

Almost surely, 234271997696 is an apocalyptic number.

34271997696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34271997696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53849997600).

34271997696 is an abundant number, since it is smaller than the sum of its proper divisors (73427997504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34271997696 is a wasteful number, since it uses less digits than its factorization.

34271997696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4692 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The spelling of 34271997696 in words is "thirty-four billion, two hundred seventy-one million, nine hundred ninety-seven thousand, six hundred ninety-six".