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343412040144 = 24347622124469
BaseRepresentation
bin1001111111101001111…
…00111110000111010000
31012211101222100011101210
410333310330332013100
521111301440241034
6421432235500120
733545033115135
oct4776474760720
91184358304353
10343412040144
11122705164628
125667bbb7640
13264caa61324
141289a93258c
158ded9ca8e9
hex4ff4f3e1d0

343412040144 has 80 divisors (see below), whose sum is σ = 906205927680. Its totient is φ = 112012546560.

The previous prime is 343412040143. The next prime is 343412040149. The reversal of 343412040144 is 441040214343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343412040143) 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 15 ways as a sum of consecutive naturals, for example, 14022342 + ... + 14046810.

It is an arithmetic number, because the mean of its divisors is an integer number (11327574096).

Almost surely, 2343412040144 is an apocalyptic number.

It is an amenable number.

343412040144 is an abundant number, since it is smaller than the sum of its proper divisors (562793887536).

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

343412040144 is a wasteful number, since it uses less digits than its factorization.

343412040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30748 (or 30742 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 343412040144 its reverse (441040214343), we get a palindrome (784452254487).

The spelling of 343412040144 in words is "three hundred forty-three billion, four hundred twelve million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 6221 12442 18663 24469 24884 37326 48938 49768 73407 74652 97876 99536 146814 149304 195752 292387 293628 298608 391504 584774 587256 877161 1150043 1169548 1174512 1754322 2300086 2339096 3450129 3508644 4600172 4678192 6900258 7017288 9200344 13800516 14034576 18400688 27601032 55202064 152221649 304443298 456664947 608886596 913329894 1217773192 1826659788 2435546384 3653319576 7154417503 7306639152 14308835006 21463252509 28617670012 42926505018 57235340024 85853010036 114470680048 171706020072 343412040144