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3238230528 = 29331337487
BaseRepresentation
bin1100000100000011…
…0111101000000000
322100200022011012000
43001000313220000
523112441334103
61253154304000
7143150335221
oct30100675000
98320264160
103238230528
111411995585
12764588000
133c7b65b50
1422a0db248
1513e450aa3
hexc1037a00

3238230528 has 320 divisors, whose sum is σ = 10623486720. Its totient is φ = 967458816.

The previous prime is 3238230497. The next prime is 3238230529. The reversal of 3238230528 is 8250328323.

It is a happy number.

3238230528 is a `hidden beast` number, since 3 + 23 + 82 + 30 + 528 = 666.

It is a super-2 number, since 2×32382305282 = 20972273904942317568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3238230492 and 3238230501.

It is not an unprimeable number, because it can be changed into a prime (3238230529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6649101 + ... + 6649587.

It is an arithmetic number, because the mean of its divisors is an integer number (33198396).

Almost surely, 23238230528 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 3238230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311743360).

3238230528 is an abundant number, since it is smaller than the sum of its proper divisors (7385256192).

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

3238230528 is a wasteful number, since it uses less digits than its factorization.

3238230528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3238230528 is about 56905.4525331273. The cubic root of 3238230528 is about 1479.4578194208.

The spelling of 3238230528 in words is "three billion, two hundred thirty-eight million, two hundred thirty thousand, five hundred twenty-eight".