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344742247443 = 3113377929537
BaseRepresentation
bin1010000010001000011…
…11010011110000010011
31012221211200100200202210
411001010033103300103
521122013003404233
6422212234443203
733623014516416
oct5010417236023
91187750320683
10344742247443
11123228014000
1256991593503
1326680514739
1412985477b7d
158e7a686163
hex50443d3c13

344742247443 has 64 divisors (see below), whose sum is σ = 525842565120. Its totient is φ = 200707752960.

The previous prime is 344742247439. The next prime is 344742247469.

344742247443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344742247443 - 22 = 344742247439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344742247392 and 344742247401.

It is not an unprimeable number, because it can be changed into a prime (344742247483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11656771 + ... + 11686307.

It is an arithmetic number, because the mean of its divisors is an integer number (8216290080).

Almost surely, 2344742247443 is an apocalyptic number.

344742247443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

344742247443 is a deficient number, since it is larger than the sum of its proper divisors (181100317677).

344742247443 is a wasteful number, since it uses less digits than its factorization.

344742247443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29689 (or 29667 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 48.

The spelling of 344742247443 in words is "three hundred forty-four billion, seven hundred forty-two million, two hundred forty-seven thousand, four hundred forty-three".

Divisors: 1 3 11 33 37 79 111 121 237 363 407 869 1221 1331 2607 2923 3993 4477 8769 9559 13431 28677 29537 32153 49247 88611 96459 105149 147741 315447 324907 353683 974721 1061049 1092869 2333423 3278607 3573977 3890513 7000269 10721931 11671539 12021559 25667653 36064677 39313747 77002959 86336651 117941241 132237149 259009953 282344183 396711447 847032549 949703161 1454608639 2849109483 3105786013 4363825917 9317358039 10446734771 31340204313 114914082481 344742247443