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340443303444 = 223254347174007
BaseRepresentation
bin1001111010001000000…
…00001000111000010100
31012112202002010201020200
410331010000020320110
521034211441202234
6420221505300500
733411334222116
oct4750400107024
91175662121220
10340443303444
11121421407822
1255b91934730
13261469a4aaa
14126985473b6
158cc805ed99
hex4f44008e14

340443303444 has 36 divisors (see below), whose sum is σ = 860585797344. Its totient is φ = 113478360912.

The previous prime is 340443303437. The next prime is 340443303463. The reversal of 340443303444 is 444303344043.

340443303444 is a `hidden beast` number, since 340 + 4 + 4 + 3 + 303 + 4 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3404433034442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340443303399 and 340443303408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1869489 + ... + 2043495.

Almost surely, 2340443303444 is an apocalyptic number.

It is an amenable number.

340443303444 is an abundant number, since it is smaller than the sum of its proper divisors (520142493900).

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

340443303444 is a wasteful number, since it uses less digits than its factorization.

340443303444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228364 (or 228359 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 340443303444 its reverse (444303344043), we get a palindrome (784746647487).

The spelling of 340443303444 in words is "three hundred forty billion, four hundred forty-three million, three hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 54347 108694 163041 174007 217388 326082 348014 489123 522021 652164 696028 978246 1044042 1566063 1956492 2088084 3132126 6264252 9456758429 18913516858 28370275287 37827033716 56740550574 85110825861 113481101148 170221651722 340443303444