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343254044001 = 31121755623731
BaseRepresentation
bin1001111111010111000…
…10010000110101100001
31012210222222001010102210
410333223202100311201
521110441013402001
6421404433232333
733541104143031
oct4775342206541
91183888033383
10343254044001
11122633a60800
12566371026a9
13264a40c299b
14128839658c1
158ddebbbdd6
hex4feb890d61

343254044001 has 24 divisors (see below), whose sum is σ = 532652857632. Its totient is φ = 195795529600.

The previous prime is 343254043969. The next prime is 343254044009. The reversal of 343254044001 is 100440452343.

343254044001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 343254044001 - 25 = 343254043969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 343254044001.

It is not an unprimeable number, because it can be changed into a prime (343254044009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27805695 + ... + 27818036.

It is an arithmetic number, because the mean of its divisors is an integer number (22193869068).

Almost surely, 2343254044001 is an apocalyptic number.

It is an amenable number.

343254044001 is a deficient number, since it is larger than the sum of its proper divisors (189398813631).

343254044001 is a wasteful number, since it uses less digits than its factorization.

343254044001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55623773 (or 55623762 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 343254044001 its reverse (100440452343), we get a palindrome (443694496344).

The spelling of 343254044001 in words is "three hundred forty-three billion, two hundred fifty-four million, forty-four thousand, one".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 6171 55623731 166871193 611861041 945603427 1835583123 2836810281 6730471451 10401637697 20191414353 31204913091 114418014667 343254044001