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342241304031 = 331123476411663
BaseRepresentation
bin1001111101011110010…
…10111101110111011111
31012201101101101121101000
410332233022331313133
521101402233212111
6421120134521343
733504026041254
oct4765712756737
91181341347330
10342241304031
11122164326220
12563b3b06253
1326372344a73
14127c925d42b
158d80d20c56
hex4faf2bdddf

342241304031 has 128 divisors (see below), whose sum is σ = 590720532480. Its totient is φ = 193759948800.

The previous prime is 342241304029. The next prime is 342241304051. The reversal of 342241304031 is 130403142243.

342241304031 is a `hidden beast` number, since 3 + 4 + 224 + 1 + 30 + 403 + 1 = 666.

It is not a de Polignac number, because 342241304031 - 21 = 342241304029 is a prime.

It is a super-2 number, since 2×3422413040312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 342241303986 and 342241304004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342241304051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205796706 + ... + 205798368.

It is an arithmetic number, because the mean of its divisors is an integer number (4615004160).

Almost surely, 2342241304031 is an apocalyptic number.

342241304031 is a deficient number, since it is larger than the sum of its proper divisors (248479228449).

342241304031 is a wasteful number, since it uses less digits than its factorization.

342241304031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 342241304031 its reverse (130403142243), we get a palindrome (472644446274).

The spelling of 342241304031 in words is "three hundred forty-two billion, two hundred forty-one million, three hundred four thousand, thirty-one".

Divisors: 1 3 9 11 23 27 33 47 69 99 141 207 253 297 423 517 621 641 759 1081 1269 1551 1663 1923 2277 3243 4653 4989 5769 6831 7051 9729 11891 13959 14743 14967 17307 18293 21153 29187 30127 35673 38249 44229 44901 54879 63459 78161 90381 107019 114747 132687 162173 164637 190377 234483 271143 321057 331397 344241 398061 420739 486519 493911 692921 703449 813429 859771 994191 1032723 1065983 1262217 1459557 1797703 2078763 2110347 2579313 2982573 3197949 3786651 4378671 5393109 6236289 7622131 7737939 8947719 9593847 11359953 11725813 16179327 18708867 19774733 22866393 23213817 24517609 28781541 35177439 48537981 50101201 59324199 68599179 73552827 105532317 150303603 177972597 205797537 220658481 269693699 316596951 450910809 533917791 551113211 661975443 809081097 1152327623 1352732427 1653339633 2427243291 3456982869 4960018899 7281729873 10370948607 12675603853 14880056697 31112845821 38026811559 114080434677 342241304031