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343020020343 = 371113114225781
BaseRepresentation
bin1001111110111011001…
…01100010001001110111
31012210101122200111022220
410333131211202021313
521110001111122333
6421325313253423
733532233031230
oct4773545421167
91183348614286
10343020020343
1112252394a320
1256590864273
1326467785150
1412860848087
158dc93918b3
hex4fdd962277

343020020343 has 32 divisors (see below), whose sum is σ = 614077804032. Its totient is φ = 164485123200.

The previous prime is 343020020341. The next prime is 343020020347.

343020020343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343020020343 - 21 = 343020020341 is a prime.

It is a super-2 number, since 2×3430200203432 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343020020341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57109888 + ... + 57115893.

It is an arithmetic number, because the mean of its divisors is an integer number (19189931376).

Almost surely, 2343020020343 is an apocalyptic number.

343020020343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343020020343 is a deficient number, since it is larger than the sum of its proper divisors (271057783689).

343020020343 is a wasteful number, since it uses less digits than its factorization.

343020020343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114225815.

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 3430200 and 20343, that added together give a palindrome (3450543).

The spelling of 343020020343 in words is "three hundred forty-three billion, twenty million, twenty thousand, three hundred forty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 114225781 342677343 799580467 1256483591 1484935153 2398741401 3769450773 4454805459 8795385137 10394546071 16334286683 26386155411 31183638213 49002860049 114340006781 343020020343