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344313746647 = 1331391992077
BaseRepresentation
bin1010000001010101011…
…00101101010011010111
31012220201211001121011221
411000222230231103113
521120123304343042
6422101530311211
733606262362103
oct5005254552327
91186654047157
10344313746647
11123028152012
1256891b88507
1326612804680
14129445b4903
158e52c42d67
hex502ab2d4d7

344313746647 has 16 divisors (see below), whose sum is σ = 372392896960. Its totient is φ = 316464475392.

The previous prime is 344313746639. The next prime is 344313746657. The reversal of 344313746647 is 746647313443.

It is a happy number.

It is not a de Polignac number, because 344313746647 - 23 = 344313746639 is a prime.

It is a super-2 number, since 2×3443137466472 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344313746594 and 344313746603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344313746657) 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 15 ways as a sum of consecutive naturals, for example, 3693373 + ... + 3785449.

It is an arithmetic number, because the mean of its divisors is an integer number (23274556060).

Almost surely, 2344313746647 is an apocalyptic number.

344313746647 is a deficient number, since it is larger than the sum of its proper divisors (28079150313).

344313746647 is a wasteful number, since it uses less digits than its factorization.

344313746647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93322.

The product of its digits is 12192768, while the sum is 52.

The spelling of 344313746647 in words is "three hundred forty-four billion, three hundred thirteen million, seven hundred forty-six thousand, six hundred forty-seven".

Divisors: 1 13 313 919 4069 11947 92077 287647 1197001 3739411 28820101 84618763 374661313 1100043919 26485672819 344313746647