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344007 = 3431137
BaseRepresentation
bin1010011111111000111
3122110220000
41103333013
542002012
611212343
72631636
oct1237707
9573800
10344007
11215504
121470b3
13c0771
148d51d
156bddc
hex53fc7

344007 has 20 divisors (see below), whose sum is σ = 534336. Its totient is φ = 220320.

The previous prime is 343997. The next prime is 344017. The reversal of 344007 is 700443.

It is an interprime number because it is at equal distance from previous prime (343997) and next prime (344017).

It is not a de Polignac number, because 344007 - 26 = 343943 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 344007.

It is not an unprimeable number, because it can be changed into a prime (344017) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2443 + ... + 2579.

2344007 is an apocalyptic number.

344007 is a deficient number, since it is larger than the sum of its proper divisors (190329).

344007 is a wasteful number, since it uses less digits than its factorization.

344007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 344007 is about 586.5210993647. The cubic root of 344007 is about 70.0684364717.

The spelling of 344007 in words is "three hundred forty-four thousand, seven", and thus it is an iban number.

Divisors: 1 3 9 27 31 81 93 137 279 411 837 1233 2511 3699 4247 11097 12741 38223 114669 344007