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344097422319 = 373110340912547
BaseRepresentation
bin1010000000111011100…
…11011111101111101111
31012220011202000011222210
411000131303133233233
521114202420003234
6422024241541503
733601024554660
oct5003563375757
91186152004883
10344097422319
11122a2702a382
1256831644893
13265a9a53001
1412923983367
158e3dc61be9
hex501dcdfbef

344097422319 has 64 divisors (see below), whose sum is σ = 547887841280. Its totient is φ = 187961160960.

The previous prime is 344097422309. The next prime is 344097422371. The reversal of 344097422319 is 913224790443.

It is not a de Polignac number, because 344097422319 - 24 = 344097422303 is a prime.

It is a super-2 number, since 2×3440974223192 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344097422309) 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, 27418404 + ... + 27430950.

It is an arithmetic number, because the mean of its divisors is an integer number (8560747520).

Almost surely, 2344097422319 is an apocalyptic number.

344097422319 is a deficient number, since it is larger than the sum of its proper divisors (203790418961).

344097422319 is a wasteful number, since it uses less digits than its factorization.

344097422319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13100.

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 344097422319 in words is "three hundred forty-four billion, ninety-seven million, four hundred twenty-two thousand, three hundred nineteen".

Divisors: 1 3 7 21 31 93 103 217 309 409 651 721 1227 2163 2863 3193 8589 9579 12547 12679 22351 37641 38037 42127 67053 87829 88753 126381 263487 266259 294889 388957 884667 1166871 1292341 1305937 2722699 3877023 3917811 5131723 8168097 9046387 9141559 15395169 27139161 27424677 35922061 40062571 107766183 120187713 159083413 280437997 477250239 528567469 841313991 1113583891 1585702407 3340751673 3699972283 11099916849 16385591539 49156774617 114699140773 344097422319