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3245031040 = 2757369457
BaseRepresentation
bin1100000101101011…
…0011111010000000
322101011002122201211
43001122303322000
523121211443130
61254000135504
7143262210616
oct30132637200
98334078654
103245031040
11141580a939
12766907594
133c93a7314
1422ad8b6b6
1513ed45a2a
hexc16b3e80

3245031040 has 64 divisors (see below), whose sum is σ = 7864034760. Its totient is φ = 1280212992.

The previous prime is 3245031037. The next prime is 3245031089. The reversal of 3245031040 is 401305423.

It can be written as a sum of positive squares in 4 ways, for example, as 2065520704 + 1179510336 = 45448^2 + 34344^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11992 + ... + 81448.

Almost surely, 23245031040 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 3245031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932017380).

3245031040 is an abundant number, since it is smaller than the sum of its proper divisors (4619003720).

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

3245031040 is an equidigital number, since it uses as much as digits as its factorization.

3245031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69549 (or 69537 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3245031040 is about 56965.1739223185. The cubic root of 3245031040 is about 1480.4927504619.

Adding to 3245031040 its reverse (401305423), we get a palindrome (3646336463).

The spelling of 3245031040 in words is "three billion, two hundred forty-five million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 292 320 365 584 640 730 1168 1460 2336 2920 4672 5840 9344 11680 23360 46720 69457 138914 277828 347285 555656 694570 1111312 1389140 2222624 2778280 4445248 5070361 5556560 8890496 10140722 11113120 20281444 22226240 25351805 40562888 44452480 50703610 81125776 101407220 162251552 202814440 324503104 405628880 649006208 811257760 1622515520 3245031040