Search a number
-
+
3452542311204 = 2233710742680887
BaseRepresentation
bin110010001111011011100…
…011101101101100100100
3110020001121121110121102000
4302033123203231230210
5423031301312424304
611202024231445300
7504303134301630
oct62173343555444
913201547417360
103452542311204
111111240144168
12479161526830
131c075b832bcc
14bd1652d1dc0
155ec1dcb9939
hex323db8edb24

3452542311204 has 96 divisors (see below), whose sum is σ = 10325360424960. Its totient is φ = 977221565856.

The previous prime is 3452542311203. The next prime is 3452542311217. The reversal of 3452542311204 is 4021132452543.

It is a happy number.

3452542311204 is a `hidden beast` number, since 3 + 4 + 5 + 25 + 423 + 1 + 1 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3452542311203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21259552 + ... + 21421335.

It is an arithmetic number, because the mean of its divisors is an integer number (107555837760).

Almost surely, 23452542311204 is an apocalyptic number.

It is an amenable number.

3452542311204 is an abundant number, since it is smaller than the sum of its proper divisors (6872818113756).

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

3452542311204 is a wasteful number, since it uses less digits than its factorization.

3452542311204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42681014 (or 42681006 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 3452542311204 its reverse (4021132452543), we get a palindrome (7473674763747).

The spelling of 3452542311204 in words is "three trillion, four hundred fifty-two billion, five hundred forty-two million, three hundred eleven thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 107 108 126 189 214 252 321 378 428 642 749 756 963 1284 1498 1926 2247 2889 2996 3852 4494 5778 6741 8988 11556 13482 20223 26964 40446 80892 42680887 85361774 128042661 170723548 256085322 298766209 384127983 512170644 597532418 768255966 896298627 1152383949 1195064836 1536511932 1792597254 2304767898 2688895881 3585194508 4566854909 4609535796 5377791762 8066687643 9133709818 10755583524 13700564727 16133375286 18267419636 27401129454 31967984363 32266750572 41101694181 54802258908 63935968726 82203388362 95903953089 123305082543 127871937452 164406776724 191807906178 246610165086 287711859267 383615812356 493220330172 575423718534 863135577801 1150847437068 1726271155602 3452542311204