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343444032140 = 2251129409131617
BaseRepresentation
bin1001111111101101101…
…11000000101010001100
31012211111012112112011112
410333312313000222030
521111333133012030
6421435341311152
733545602051226
oct4776667005214
91184435475145
10343444032140
111227212256a0
125668a8654b8
1326504582bc1
14128a0c9d416
158e016e9a95
hex4ff6dc0a8c

343444032140 has 96 divisors (see below), whose sum is σ = 815926305600. Its totient is φ = 120286494720.

The previous prime is 343444032103. The next prime is 343444032149. The reversal of 343444032140 is 41230444343.

It is a junction number, because it is equal to n+sod(n) for n = 343444032097 and 343444032106.

It is not an unprimeable number, because it can be changed into a prime (343444032149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2543612 + ... + 2675228.

It is an arithmetic number, because the mean of its divisors is an integer number (8499232350).

Almost surely, 2343444032140 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 343444032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407963152800).

343444032140 is an abundant number, since it is smaller than the sum of its proper divisors (472482273460).

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

343444032140 is a wasteful number, since it uses less digits than its factorization.

343444032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132075 (or 132073 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 343444032140 its reverse (41230444343), we get a palindrome (384674476483).

The spelling of 343444032140 in words is "three hundred forty-three billion, four hundred forty-four million, thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 409 580 638 818 1276 1595 1636 2045 3190 4090 4499 6380 8180 8998 11861 17996 22495 23722 44990 47444 59305 89980 118610 130471 131617 237220 260942 263234 521884 526468 652355 658085 1304710 1316170 1447787 2609420 2632340 2895574 3816893 5791148 7238935 7633786 14477870 15267572 19084465 28955740 38168930 41985823 53831353 76337860 83971646 107662706 167943292 209929115 215325412 269156765 419858230 538313530 592144883 839716460 1076627060 1184289766 1561109237 2368579532 2960724415 3122218474 5921448830 6244436948 7805546185 11842897660 15611092370 17172201607 31222184740 34344403214 68688806428 85861008035 171722016070 343444032140