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343021411323020 = 225296738323047279
BaseRepresentation
bin100110111111110011110010…
…1010111110100110010001100
31122222112112012221022210002102
41031333213211113310302030
5324430030322244314040
63213313505543014232
7132152323226200163
oct11577474527646214
91588475187283072
10343021411323020
119a32a622162151
123257ba2073a378
1311952a1b3bb681
14609c47970c3da
15299cb928ba515
hex137f9e55f4c8c

343021411323020 has 96 divisors (see below), whose sum is σ = 758281324953600. Its totient is φ = 130159225937664.

The previous prime is 343021411322911. The next prime is 343021411323023. The reversal of 343021411323020 is 20323114120343.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (343021411323023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3359741 + ... + 26407019.

It is an arithmetic number, because the mean of its divisors is an integer number (7898763801600).

Almost surely, 2343021411323020 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 343021411323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379140662476800).

343021411323020 is an abundant number, since it is smaller than the sum of its proper divisors (415259913630580).

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

343021411323020 is a wasteful number, since it uses less digits than its factorization.

343021411323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23047767 (or 23047765 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 343021411323020 its reverse (20323114120343), we get a palindrome (363344525443363).

The spelling of 343021411323020 in words is "three hundred forty-three trillion, twenty-one billion, four hundred eleven million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 67 116 134 145 268 290 335 383 580 670 766 1340 1532 1915 1943 3830 3886 7660 7772 9715 11107 19430 22214 25661 38860 44428 51322 55535 102644 111070 128305 222140 256610 513220 744169 1488338 2976676 3720845 7441690 14883380 23047279 46094558 92189116 115236395 230472790 460945580 668371091 1336742182 1544167693 2673484364 3088335386 3341855455 6176670772 6683710910 7720838465 8827107857 13367421820 15441676930 17654215714 30883353860 35308431428 44135539285 44780863097 88271078570 89561726194 176542157140 179123452388 223904315485 255986127853 447808630970 511972255706 591416226419 895617261940 1023944511412 1182832452838 1279930639265 2365664905676 2559861278530 2957081132095 5119722557060 5914162264190 11828324528380 17151070566151 34302141132302 68604282264604 85755352830755 171510705661510 343021411323020