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344032240424019 = 3753259157629617
BaseRepresentation
bin100111000111001010011111…
…1011110110101010001010011
31200010010011100100121112110020
41032032110333132311101103
5330043111012022032034
63215410121314434523
7132315336426610230
oct11616247736652123
91603104310545406
10344032240424019
119a68a2878a9994
1232703905292a43
13119c7141076284
1460d536c05a787
1529b9104bb4249
hex138e53f7b5453

344032240424019 has 96 divisors (see below), whose sum is σ = 546835623882240. Its totient is φ = 188403430864896.

The previous prime is 344032240423967. The next prime is 344032240424039. The reversal of 344032240424019 is 910424042230443.

It is a happy number.

It is not a de Polignac number, because 344032240424019 - 28 = 344032240423763 is a prime.

It is a super-2 number, since 2×3440322404240192 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344032240424039) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 546100299 + ... + 546729915.

It is an arithmetic number, because the mean of its divisors is an integer number (5696204415440).

Almost surely, 2344032240424019 is an apocalyptic number.

344032240424019 is a deficient number, since it is larger than the sum of its proper divisors (202803383458221).

344032240424019 is a wasteful number, since it uses less digits than its factorization.

344032240424019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629949 (or 629896 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 344032240424019 in words is "three hundred forty-four trillion, thirty-two billion, two hundred forty million, four hundred twenty-four thousand, nineteen".

Divisors: 1 3 7 21 53 59 157 159 177 371 413 471 1099 1113 1239 2809 3127 3297 8321 8427 9263 9381 19663 21889 24963 27789 58247 58989 64841 65667 165731 174741 194523 441013 490939 497193 629617 1160117 1323039 1472817 1888851 3087091 3436573 3480351 4407319 9261273 10309719 13221957 26019767 33369701 37147403 78059301 98849869 100109103 111442209 182138369 233587907 260031821 296549607 546415107 691949083 700763721 780095463 1768594153 1968812359 2075847249 5239043057 5305782459 5832142271 5906437077 12380159071 13781686513 15717129171 17496426813 36673301399 37140477213 40824995897 41345059539 104347055027 110019904197 122474987691 277669282021 309103540363 313041165081 730429385189 833007846063 927310621089 1943684974147 2163724782541 2191288155567 5831054922441 6491174347623 16382487639239 49147462917717 114677413474673 344032240424019