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3321024040 = 235731137337
BaseRepresentation
bin1100010111110010…
…1100111000101000
322120110002111112101
43011330230320220
523300140232130
61305313023144
7145204144555
oct30574547050
98513074471
103321024040
1114546a4574
12788254ab4
1340c0638a9
142370cda2c
151468571ca
hexc5f2ce28

3321024040 has 32 divisors (see below), whose sum is σ = 7574671080. Its totient is φ = 1310211072.

The previous prime is 3321024011. The next prime is 3321024101. The reversal of 3321024040 is 404201233.

3321024040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3217839076 + 103184964 = 56726^2 + 10158^2 .

It is a super-2 number, since 2×33210240402 = 22058401348515843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3321023999 and 3321024017.

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, 565749 + ... + 571588.

Almost surely, 23321024040 is an apocalyptic number.

It is an amenable number.

3321024040 is an abundant number, since it is smaller than the sum of its proper divisors (4253647040).

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

3321024040 is a wasteful number, since it uses less digits than its factorization.

3321024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137421 (or 1137417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3321024040 is about 57628.3267152535. The cubic root of 3321024040 is about 1491.9605499563.

Adding to 3321024040 its reverse (404201233), we get a palindrome (3725225273).

The spelling of 3321024040 in words is "three billion, three hundred twenty-one million, twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 1137337 2274674 4549348 5686685 9098696 11373370 22746740 45493480 83025601 166051202 332102404 415128005 664204808 830256010 1660512020 3321024040