Search a number
-
+
324234304033140 = 223258979720059709
BaseRepresentation
bin100100110111000111010111…
…0100001000001000101110100
31120112000111102010110220211100
41021232032232201001011310
5314444223323313030030
63105331103305010100
7125203104212112414
oct11156165641010564
91515014363426740
10324234304033140
1194346aa5946136
1230446944483930
1310bbc21879a6b7
145a0d049db6644
15277412952c360
hex126e3ae841174

324234304033140 has 72 divisors (see below), whose sum is σ = 983521723864680. Its totient is φ = 86461513899264.

The previous prime is 324234304033117. The next prime is 324234304033163. The reversal of 324234304033140 is 41330403432423.

324234304033140 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 34 + 304 + 0 + 3 + 314 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (324234304033117) and next prime (324234304033163).

It can be written as a sum of positive squares in 4 ways, for example, as 82541077084944 + 241693226948196 = 9085212^2 + 15546486^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 324234304033095 and 324234304033104.

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, 6133606 + ... + 26193314.

It is an arithmetic number, because the mean of its divisors is an integer number (13660023942565).

Almost surely, 2324234304033140 is an apocalyptic number.

324234304033140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

324234304033140 is an abundant number, since it is smaller than the sum of its proper divisors (659287419831540).

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

324234304033140 is a wasteful number, since it uses less digits than its factorization.

324234304033140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20149521 (or 20149516 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 324234304033140 its reverse (41330403432423), we get a palindrome (365564707465563).

The spelling of 324234304033140 in words is "three hundred twenty-four trillion, two hundred thirty-four billion, three hundred four million, thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 89797 179594 269391 359188 448985 538782 808173 897970 1077564 1346955 1616346 1795940 2693910 3232692 4040865 5387820 8081730 16163460 20059709 40119418 60179127 80238836 100298545 120358254 180537381 200597090 240716508 300895635 361074762 401194180 601791270 722149524 902686905 1203582540 1805373810 3610747620 1801301689073 3602603378146 5403905067219 7205206756292 9006508445365 10807810134438 16211715201657 18013016890730 21615620268876 27019525336095 32423430403314 36026033781460 54039050672190 64846860806628 81058576008285 108078101344380 162117152016570 324234304033140