Search a number
-
+
34271104308 = 2237319593739
BaseRepresentation
bin11111111010101101…
…111000110100110100
310021110102010111000120
4133322231320310310
51030141400314213
623424404411540
72322161403000
oct377255706464
9107412114016
1034271104308
1113597165a01
1267853a6bb0
13330220815c
1419317ad700
15d58aa1423
hex7fab78d34

34271104308 has 192 divisors, whose sum is σ = 98461440000. Its totient is φ = 9248214528.

The previous prime is 34271104271. The next prime is 34271104333. The reversal of 34271104308 is 80340117243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46374603 + ... + 46375341.

It is an arithmetic number, because the mean of its divisors is an integer number (512820000).

Almost surely, 234271104308 is an apocalyptic number.

34271104308 is a gapful number since it is divisible by the number (38) 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 34271104308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49230720000).

34271104308 is an abundant number, since it is smaller than the sum of its proper divisors (64190335692).

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

34271104308 is a wasteful number, since it uses less digits than its factorization.

34271104308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 34271104308 in words is "thirty-four billion, two hundred seventy-one million, one hundred four thousand, three hundred eight".