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34834110948 = 223271346722769
BaseRepresentation
bin100000011100010001…
…100101100111100100
310022220122112011221100
4200130101211213210
51032320013022243
624000315520100
72342136025530
oct403421454744
9108818464840
1034834110948
1113855a4714a
126901a59030
133391a50890
141986486bc0
15d8d2130d3
hex81c4659e4

34834110948 has 144 divisors (see below), whose sum is σ = 108609621120. Its totient is φ = 9166943232.

The previous prime is 34834110947. The next prime is 34834110991. The reversal of 34834110948 is 84901143843.

It is not an unprimeable number, because it can be changed into a prime (34834110943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1518508 + ... + 1541276.

It is an arithmetic number, because the mean of its divisors is an integer number (754233480).

Almost surely, 234834110948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34834110948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54304810560).

34834110948 is an abundant number, since it is smaller than the sum of its proper divisors (73775510172).

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

34834110948 is a wasteful number, since it uses less digits than its factorization.

34834110948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23266 (or 23261 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 34834110948 in words is "thirty-four billion, eight hundred thirty-four million, one hundred ten thousand, nine hundred forty-eight".