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343111412424 = 2331112591032299
BaseRepresentation
bin1001111111000110000…
…10001010101011001000
31012210122000122200200210
410333203002022223020
521110143010144144
6421342340201120
733534422612364
oct4774302125310
91183560580623
10343111412424
111225704a1570
12565b73991a0
13264806a38c1
141286ca382a4
158dd23e5ab9
hex4fe308aac8

343111412424 has 64 divisors (see below), whose sum is σ = 936502560000. Its totient is φ = 103890470720.

The previous prime is 343111412389. The next prime is 343111412447. The reversal of 343111412424 is 424214111343.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 343111412391 and 343111412400.

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, 183774 + ... + 848525.

It is an arithmetic number, because the mean of its divisors is an integer number (14632852500).

Almost surely, 2343111412424 is an apocalyptic number.

It is an amenable number.

343111412424 is an abundant number, since it is smaller than the sum of its proper divisors (593391147576).

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

343111412424 is a wasteful number, since it uses less digits than its factorization.

343111412424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033578 (or 1033574 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 343111412424 its reverse (424214111343), we get a palindrome (767325523767).

The spelling of 343111412424 in words is "three hundred forty-three billion, one hundred eleven million, four hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1259 2518 3777 5036 7554 10072 13849 15108 27698 30216 41547 55396 83094 110792 166188 332376 1032299 2064598 3096897 4129196 6193794 8258392 11355289 12387588 22710578 24775176 34065867 45421156 68131734 90842312 136263468 272526936 1299664441 2599328882 3898993323 5198657764 7797986646 10397315528 14296308851 15595973292 28592617702 31191946584 42888926553 57185235404 85777853106 114370470808 171555706212 343111412424