Search a number
-
+
334464464432 = 24731223743063
BaseRepresentation
bin1001101110111111010…
…00101011011000110000
31011222022101220012222202
410313133220223120300
520434440400330212
6413352330122332
733110225016440
oct4673750533060
91158271805882
10334464464432
1111993351a55a
12549a35803a8
1325703107a27
141228c486120
158a782070c2
hex4ddfa2b630

334464464432 has 80 divisors (see below), whose sum is σ = 764849713152. Its totient is φ = 138652750080.

The previous prime is 334464464423. The next prime is 334464464459. The reversal of 334464464432 is 234464464433.

It is a super-2 number, since 2×3344644644322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7745333 + ... + 7788395.

Almost surely, 2334464464432 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 334464464432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382424856576).

334464464432 is an abundant number, since it is smaller than the sum of its proper divisors (430385248720).

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

334464464432 is a wasteful number, since it uses less digits than its factorization.

334464464432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45346 (or 45340 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 47.

Subtracting from 334464464432 its reverse (234464464433), we obtain a palindrome (99999999999).

The spelling of 334464464432 in words is "three hundred thirty-four billion, four hundred sixty-four million, four hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 2237 3472 4474 8948 15659 17896 31318 35792 43063 62636 69347 86126 125272 138694 172252 250544 277388 301441 344504 485429 554776 602882 689008 970858 1109552 1205764 1334953 1941716 2411528 2669906 3883432 4823056 5339812 7766864 9344671 10679624 18689342 21359248 37378684 74757368 96331931 149514736 192663862 385327724 674323517 770655448 1348647034 1541310896 2697294068 2986289861 5394588136 5972579722 10789176272 11945159444 20904029027 23890318888 41808058054 47780637776 83616116108 167232232216 334464464432