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3030635088 = 2434132101137
BaseRepresentation
bin1011010010100011…
…1101001001010000
321211012200012210000
42310220331021100
522201320310323
61220421010000
7135046654545
oct26450751120
97735605700
103030635088
111315794aa8
12706b53900
13393b4c600
1420a6dcbcc
1512b0e5e43
hexb4a3d250

3030635088 has 300 divisors, whose sum is σ = 9662230908. Its totient is φ = 916531200.

The previous prime is 3030635087. The next prime is 3030635093. The reversal of 3030635088 is 8805360303.

It can be written as a sum of positive squares in 6 ways, for example, as 8714304 + 3021920784 = 2952^2 + 54972^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3030635087) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22121356 + ... + 22121492.

Almost surely, 23030635088 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 3030635088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831115454).

3030635088 is an abundant number, since it is smaller than the sum of its proper divisors (6631595820).

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

3030635088 is a wasteful number, since it uses less digits than its factorization.

3030635088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3030635088 is about 55051.2042375096. The cubic root of 3030635088 is about 1447.1422251962.

The spelling of 3030635088 in words is "three billion, thirty million, six hundred thirty-five thousand, eighty-eight".