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3230526240 = 25345376737
BaseRepresentation
bin1100000010001101…
…1110101100100000
322100010210201220000
43000203132230200
523104003314430
61252321220000
7143025006564
oct30043365440
98303721800
103230526240
1114086031a7
12761a91600
133c63991b6
142290936a4
1513d92ce60
hexc08deb20

3230526240 has 240 divisors, whose sum is σ = 11710940472. Its totient is φ = 838066176.

The previous prime is 3230526227. The next prime is 3230526241. The reversal of 3230526240 is 426250323.

3230526240 is a `hidden beast` number, since 3 + 2 + 30 + 5 + 2 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3061630224 + 168896016 = 55332^2 + 12996^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3230526241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 476152 + ... + 482888.

Almost surely, 23230526240 is an apocalyptic number.

3230526240 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 3230526240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855470236).

3230526240 is an abundant number, since it is smaller than the sum of its proper divisors (8480414232).

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

3230526240 is a wasteful number, since it uses less digits than its factorization.

3230526240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3230526240 is about 56837.7184623028. The cubic root of 3230526240 is about 1478.2835957852.

Adding to 3230526240 its reverse (426250323), we get a palindrome (3656776563).

The spelling of 3230526240 in words is "three billion, two hundred thirty million, five hundred twenty-six thousand, two hundred forty".