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3242240020 = 225292533637
BaseRepresentation
bin1100000101000000…
…1010100000010100
322100221211212011201
43001100022200110
523120003140040
61253420242244
7143226404545
oct30120124024
98327755151
103242240020
111414183a08
127659a0384
133c893ab26
1422a8624cc
1513e993a9a
hexc140a814

3242240020 has 72 divisors (see below), whose sum is σ = 7186607064. Its totient is φ = 1228211712.

The previous prime is 3242239993. The next prime is 3242240093. The reversal of 3242240020 is 200422423.

It can be written as a sum of positive squares in 12 ways, for example, as 1142034436 + 2100205584 = 33794^2 + 45828^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3242240020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 889642 + ... + 893278.

It is an arithmetic number, because the mean of its divisors is an integer number (99813987).

Almost surely, 23242240020 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 3242240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593303532).

3242240020 is an abundant number, since it is smaller than the sum of its proper divisors (3944367044).

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

3242240020 is a wasteful number, since it uses less digits than its factorization.

3242240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 3242240020 is about 56940.6710532990. The cubic root of 3242240020 is about 1480.0681761874.

Adding to 3242240020 its reverse (200422423), we get a palindrome (3442662443).

The spelling of 3242240020 in words is "three billion, two hundred forty-two million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 841 1060 1537 1682 3074 3364 3637 4205 6148 7274 7685 8410 14548 15370 16820 18185 30740 36370 44573 72740 89146 105473 178292 192761 210946 222865 385522 421892 445730 527365 771044 891460 963805 1054730 1927610 2109460 3058717 3855220 5590069 6117434 11180138 12234868 15293585 22360276 27950345 30587170 55900690 61174340 111801380 162112001 324224002 648448004 810560005 1621120010 3242240020