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34052011500 = 223531317139739
BaseRepresentation
bin11111101101101010…
…000111010111101100
310020220010212102012010
4133231222013113230
51024214303332000
623350540441220
72313561215313
oct375552072754
9106803772163
1034052011500
1113494522271
126723b49210
1332989c7640
14191065b27a
15d44724d50
hex7eda875ec

34052011500 has 384 divisors, whose sum is σ = 114036249600. Its totient is φ = 7821619200.

The previous prime is 34052011463. The next prime is 34052011523. The reversal of 34052011500 is 511025043.

It is a super-2 number, since 2×340520115002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46078131 + ... + 46078869.

It is an arithmetic number, because the mean of its divisors is an integer number (296969400).

Almost surely, 234052011500 is an apocalyptic number.

34052011500 is a gapful number since it is divisible by the number (30) 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 34052011500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57018124800).

34052011500 is an abundant number, since it is smaller than the sum of its proper divisors (79984238100).

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

34052011500 is a wasteful number, since it uses less digits than its factorization.

34052011500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 34052011500 its reverse (511025043), we get a palindrome (34563036543).

The spelling of 34052011500 in words is "thirty-four billion, fifty-two million, eleven thousand, five hundred".