Search a number
-
+
34232040990 = 23457171312711
BaseRepresentation
bin11111111000011000…
…110111111000011110
310021100200121212020000
4133320120313320132
51030101400302430
623420451235130
72321205355530
oct377030677036
9107320555200
1034232040990
1113577105074
1267742a8aa6
1332c70aba74
14192a521850
15d55436e60
hex7f8637e1e

34232040990 has 320 divisors, whose sum is σ = 112275237888. Its totient is φ = 7305292800.

The previous prime is 34232040979. The next prime is 34232041021. The reversal of 34232040990 is 9904023243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12625735 + ... + 12628445.

Almost surely, 234232040990 is an apocalyptic number.

34232040990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34232040990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137618944).

34232040990 is an abundant number, since it is smaller than the sum of its proper divisors (78043196898).

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

34232040990 is a wasteful number, since it uses less digits than its factorization.

34232040990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 34232040990 in words is "thirty-four billion, two hundred thirty-two million, forty thousand, nine hundred ninety".