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349755021 = 3271119101263
BaseRepresentation
bin10100110110001…
…101011010001101
3220101010101200200
4110312031122031
51204014130041
654412244113
711444603640
oct2466153215
9811111620
10349755021
1116a478140
1299170639
13575cb845
1434645a57
1520a8b1b6
hex14d8d68d

349755021 has 96 divisors (see below), whose sum is σ = 672122880. Its totient is φ = 169776000.

The previous prime is 349755019. The next prime is 349755047. The reversal of 349755021 is 120557943.

It is not a de Polignac number, because 349755021 - 21 = 349755019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349755011) 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, 1329736 + ... + 1329998.

It is an arithmetic number, because the mean of its divisors is an integer number (7001280).

Almost surely, 2349755021 is an apocalyptic number.

It is an amenable number.

349755021 is a deficient number, since it is larger than the sum of its proper divisors (322367859).

349755021 is a wasteful number, since it uses less digits than its factorization.

349755021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 349755021 is about 18701.7384486042. The cubic root of 349755021 is about 704.5654119537.

The spelling of 349755021 in words is "three hundred forty-nine million, seven hundred fifty-five thousand, twenty-one".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 101 133 171 209 231 263 303 399 627 693 707 789 909 1111 1197 1463 1841 1881 1919 2121 2367 2893 3333 4389 4997 5523 5757 6363 7777 8679 9999 13167 13433 14991 16569 17271 20251 21109 23331 26037 26563 34979 40299 44973 54967 60753 63327 69993 79689 104937 120897 147763 164901 182259 185941 189981 239067 292193 314811 384769 443289 494703 504697 557823 876579 1154307 1329867 1514091 1673469 2045351 2629737 3462921 3532879 4542273 5551667 6136053 10598637 16655001 18408159 31795911 38861669 49965003 116585007 349755021