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343410440744 = 23723299193897
BaseRepresentation
bin1001111111101001101…
…10110111101000101000
31012211101212022220102202
410333310312313220220
521111301033100434
6421432141315332
733545013404150
oct4776466675050
91184355286382
10343410440744
11122704271a08
125667b565b48
13264ca621337
141289a637760
158ded7b1a7e
hex4ff4db7a28

343410440744 has 64 divisors (see below), whose sum is σ = 794352787200. Its totient is φ = 135922558464.

The previous prime is 343410440689. The next prime is 343410440759. The reversal of 343410440744 is 447044014343.

It is a junction number, because it is equal to n+sod(n) for n = 343410440698 and 343410440707.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4559597 + ... + 4634300.

It is an arithmetic number, because the mean of its divisors is an integer number (12411762300).

Almost surely, 2343410440744 is an apocalyptic number.

It is an amenable number.

343410440744 is an abundant number, since it is smaller than the sum of its proper divisors (450942346456).

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

343410440744 is a wasteful number, since it uses less digits than its factorization.

343410440744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9193962 (or 9193958 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 38.

The spelling of 343410440744 in words is "three hundred forty-three billion, four hundred ten million, four hundred forty thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 29 46 56 58 92 116 161 184 203 232 322 406 644 667 812 1288 1334 1624 2668 4669 5336 9338 18676 37352 9193897 18387794 36775588 64357279 73551176 128714558 211459631 257429116 266623013 422919262 514858232 533246026 845838524 1066492052 1480217417 1691677048 1866361091 2132984104 2960434834 3732722182 5920869668 6132329299 7465444364 11841739336 12264658598 14930888728 24529317196 42926305093 49058634392 85852610186 171705220372 343410440744