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344323402400341 = 71336716993606721
BaseRepresentation
bin100111001001010010000101…
…0000101101000001001010101
31200011010222212221020102221001
41032102210022011220021111
5330112343312003302331
63220151553134223301
7132345354616561660
oct11622441205501125
91604128787212831
10344323402400341
119a79180a187191
1232750222954b31
1311a18732b57a70
1461054ad4ac6d7
1529c19964de561
hex139290a168255

344323402400341 has 32 divisors (see below), whose sum is σ = 424963077260288. Its totient is φ = 271672946196480.

The previous prime is 344323402400309. The next prime is 344323402400377. The reversal of 344323402400341 is 143004204323443.

It is a cyclic number.

It is not a de Polignac number, because 344323402400341 - 25 = 344323402400309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344323402400341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344323402700341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567211861 + ... + 567818581.

It is an arithmetic number, because the mean of its divisors is an integer number (13280096164384).

Almost surely, 2344323402400341 is an apocalyptic number.

It is an amenable number.

344323402400341 is a deficient number, since it is larger than the sum of its proper divisors (80639674859947).

344323402400341 is a wasteful number, since it uses less digits than its factorization.

344323402400341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624101.

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 344323402400341 its reverse (143004204323443), we get a palindrome (487327606723784).

The spelling of 344323402400341 in words is "three hundred forty-four trillion, three hundred twenty-three billion, four hundred two million, four hundred thousand, three hundred forty-one".

Divisors: 1 7 13 91 367 2569 4771 16993 33397 118951 220909 606721 1546363 4247047 6236431 7887373 43655017 55211611 81073603 222666607 567515221 1558666249 2894665891 10310009953 20262661237 72170069671 134030129389 938210905723 3783773652751 26486415569257 49189057485763 344323402400341