Search a number
-
+
3432344141304 = 23321311717312967
BaseRepresentation
bin110001111100100111101…
…001110011110111111000
3110011010110222001021011100
4301330213221303313320
5422213420100010204
611144444102531400
7502656454552131
oct61744751636770
913133428037140
103432344141304
111103715872171
12475265136b60
131bb890091ca0
14bc1aa982c88
155e43a956a39
hex31f27a73df8

3432344141304 has 96 divisors (see below), whose sum is σ = 10011890135520. Its totient is φ = 1056012380928.

The previous prime is 3432344141243. The next prime is 3432344141321. The reversal of 3432344141304 is 4031414432343.

3432344141304 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 344 + 1 + 4 + 1 + 304 = 666.

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

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, 10810629 + ... + 11123595.

It is an arithmetic number, because the mean of its divisors is an integer number (104290522245).

Almost surely, 23432344141304 is an apocalyptic number.

It is an amenable number.

3432344141304 is an abundant number, since it is smaller than the sum of its proper divisors (6579545994216).

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

3432344141304 is a wasteful number, since it uses less digits than its factorization.

3432344141304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324709 (or 324702 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 3432344141304 its reverse (4031414432343), we get a palindrome (7463758573647).

The spelling of 3432344141304 in words is "three trillion, four hundred thirty-two billion, three hundred forty-four million, one hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 11717 23434 35151 46868 70302 93736 105453 140604 152321 210906 281208 304642 312967 421812 456963 609284 625934 843624 913926 938901 1218568 1251868 1370889 1827852 1877802 2503736 2741778 2816703 3655704 3755604 4068571 5483556 5633406 7511208 8137142 10967112 11266812 12205713 16274284 22533624 24411426 32548568 36617139 48822852 73234278 97645704 146468556 292937112 3667034339 7334068678 11001103017 14668137356 22002206034 29336274712 33003309051 44004412068 47671446407 66006618102 88008824136 95342892814 132013236204 143014339221 190685785628 264026472408 286028678442 381371571256 429043017663 572057356884 858086035326 1144114713768 1716172070652 3432344141304