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344080443 = 37196167211
BaseRepresentation
bin10100100000100…
…100000000111011
3212222110002122010
4110200210000323
51201041033233
654050501003
711345430660
oct2440440073
9788402563
10344080443
11167251803
1297294763
13563929c5
14339a9a67
1520319b63
hex1482403b

344080443 has 64 divisors (see below), whose sum is σ = 572026880. Its totient is φ = 179625600.

The previous prime is 344080441. The next prime is 344080489.

344080443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344080443 - 21 = 344080441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 344080443.

It is not an unprimeable number, because it can be changed into a prime (344080441) 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, 1630608 + ... + 1630818.

It is an arithmetic number, because the mean of its divisors is an integer number (8937920).

Almost surely, 2344080443 is an apocalyptic number.

344080443 is a deficient number, since it is larger than the sum of its proper divisors (227946437).

344080443 is a wasteful number, since it uses less digits than its factorization.

344080443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368.

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 344080443 is about 18549.4054621705. The cubic root of 344080443 is about 700.7342248458.

The spelling of 344080443 in words is "three hundred forty-four million, eighty thousand, four hundred forty-three".

Divisors: 1 3 7 19 21 57 61 67 133 183 201 211 399 427 469 633 1159 1273 1281 1407 1477 3477 3819 4009 4087 4431 8113 8911 12027 12261 12871 14137 24339 26733 28063 28609 38613 42411 77653 84189 85827 90097 98959 232959 244549 268603 270291 296877 543571 733647 805809 862357 1630713 1711843 1880221 2587071 5135529 5640663 6036499 16384783 18109497 49154349 114693481 344080443