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343669734342 = 2321117229445853
BaseRepresentation
bin1010000000001000100…
…11111111101111000110
31012212001221020101101100
411000010103333233012
521112313422444332
6421514003040530
733554312354154
oct5000423775706
91185057211340
10343669734342
11122827673040
1256732370146
132653c268bbc
14128c2c523d4
158e1642e67c
hex50044ffbc6

343669734342 has 96 divisors (see below), whose sum is σ = 863851042080. Its totient is φ = 97588085760.

The previous prime is 343669734341. The next prime is 343669734361. The reversal of 343669734342 is 243437966343.

343669734342 is a `hidden beast` number, since 3 + 436 + 69 + 73 + 43 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343669734341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547888 + ... + 993740.

It is an arithmetic number, because the mean of its divisors is an integer number (8998448355).

Almost surely, 2343669734342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343669734342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431925521040).

343669734342 is an abundant number, since it is smaller than the sum of its proper divisors (520181307738).

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

343669734342 is a wasteful number, since it uses less digits than its factorization.

343669734342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446118 (or 446115 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 54.

The spelling of 343669734342 in words is "three hundred forty-three billion, six hundred sixty-nine million, seven hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 229 306 374 458 561 687 1122 1374 1683 2061 2519 3366 3893 4122 5038 7557 7786 11679 15114 22671 23358 35037 42823 45342 70074 85646 128469 256938 385407 445853 770814 891706 1337559 2675118 4012677 4904383 7579501 8025354 9808766 14713149 15159002 22738503 29426298 44139447 45477006 68215509 83374511 88278894 102100337 136431018 166749022 204200674 250123533 306301011 500247066 612602022 750370599 918903033 1123103707 1500741198 1735705729 1837806066 2246207414 3369311121 3471411458 5207117187 6738622242 10107933363 10414234374 15621351561 19092763019 20215866726 31242703122 38185526038 57278289057 114556578114 171834867171 343669734342