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344047740443 = 11174394619091
BaseRepresentation
bin1010000000110101101…
…01111110011000011011
31012220001021112002021022
411000122311332120123
521114102210143233
6422015305033055
733566552353601
oct5003265763033
91186037462238
10344047740443
11122a00a86680
1256818a8578b
132659c679654
141291b12d871
158e396eb398
hex501ad7e61b

344047740443 has 32 divisors (see below), whose sum is σ = 399215900160. Its totient is φ = 293032512000.

The previous prime is 344047740437. The next prime is 344047740493.

344047740443 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 344047740443 - 228 = 343779304987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344047740394 and 344047740403.

It is not an unprimeable number, because it can be changed into a prime (344047740493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37840328 + ... + 37849418.

It is an arithmetic number, because the mean of its divisors is an integer number (12475496880).

Almost surely, 2344047740443 is an apocalyptic number.

344047740443 is a deficient number, since it is larger than the sum of its proper divisors (55168159717).

344047740443 is a wasteful number, since it uses less digits than its factorization.

344047740443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10019.

The product of its (nonzero) digits is 1806336, while the sum is 44.

The spelling of 344047740443 in words is "three hundred forty-four billion, forty-seven million, seven hundred forty thousand, four hundred forty-three".

Divisors: 1 11 17 187 439 461 4829 5071 7463 7837 9091 82093 86207 100001 154547 202379 1700017 2226169 3440443 3990949 4190951 37844873 43900439 46100461 67846133 71246167 746307463 783707837 1839827489 20238102379 31277067313 344047740443