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3327245020 = 225111011371093
BaseRepresentation
bin1100011001010001…
…1011101011011100
322120212210120010001
43012110123223130
523303233320040
61310054224044
7145311054541
oct30624335334
98525716101
103327245020
111458163480
1278a355024
13410431348
14237c6cbc8
1514718559a
hexc651badc

3327245020 has 96 divisors (see below), whose sum is σ = 7761168576. Its totient is φ = 1188096000.

The previous prime is 3327245011. The next prime is 3327245029. The reversal of 3327245020 is 205427233.

It is an interprime number because it is at equal distance from previous prime (3327245011) and next prime (3327245029).

It is a super-2 number, since 2×33272450202 = 22141118846229600800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3327245020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3327245029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3043594 + ... + 3044686.

It is an arithmetic number, because the mean of its divisors is an integer number (80845506).

Almost surely, 23327245020 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 3327245020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880584288).

3327245020 is an abundant number, since it is smaller than the sum of its proper divisors (4433923556).

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

3327245020 is a wasteful number, since it uses less digits than its factorization.

3327245020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 3327245020 is about 57682.2764807354. The cubic root of 3327245020 is about 1492.8915546984.

The spelling of 3327245020 in words is "three billion, three hundred twenty-seven million, two hundred forty-five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 137 202 220 274 404 505 548 685 1010 1093 1111 1370 1507 2020 2186 2222 2740 3014 4372 4444 5465 5555 6028 7535 10930 11110 12023 13837 15070 21860 22220 24046 27674 30140 48092 55348 60115 69185 110393 120230 138370 149741 152207 220786 240460 276740 299482 304414 441572 551965 598964 608828 748705 761035 1103930 1214323 1497410 1522070 1647151 2207860 2428646 2994820 3044140 3294302 4857292 6071615 6588604 8235755 12143230 15123841 16471510 24286460 30247682 32943020 60495364 75619205 151238410 166362251 302476820 332724502 665449004 831811255 1663622510 3327245020