Search a number
-
+
34845868332 = 223311971272381
BaseRepresentation
bin100000011100111110…
…011100000100101100
310022221110122112001000
4200130332130010230
51032331020241312
624001415520300
72342340664602
oct403476340454
9108843575030
1034845868332
11138616476a0
126905989090
133394309302
141987c67872
15d8e286adc
hex81cf9c12c

34845868332 has 192 divisors, whose sum is σ = 100396154880. Its totient is φ = 10363852800.

The previous prime is 34845868313. The next prime is 34845868357. The reversal of 34845868332 is 23386854843.

34845868332 is a `hidden beast` number, since 3 + 484 + 5 + 86 + 83 + 3 + 2 = 666.

It is a super-2 number, since 2×348458683322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 14633782 + ... + 14636162.

It is an arithmetic number, because the mean of its divisors is an integer number (522896640).

Almost surely, 234845868332 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 34845868332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50198077440).

34845868332 is an abundant number, since it is smaller than the sum of its proper divisors (65550286548).

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

34845868332 is a wasteful number, since it uses less digits than its factorization.

34845868332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2621 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 34845868332 in words is "thirty-four billion, eight hundred forty-five million, eight hundred sixty-eight thousand, three hundred thirty-two".