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349424919 = 321741531051
BaseRepresentation
bin10100110100111…
…100110100010111
3220100111121212200
4110310330310113
51203423044134
654401215543
711442030354
oct2464746427
9810447780
10349424919
1116a272128
12990315b3
135751450c
143459b62b
1520a23499
hex14d3cd17

349424919 has 48 divisors (see below), whose sum is σ = 558309024. Its totient is φ = 209664000.

The previous prime is 349424903. The next prime is 349424927. The reversal of 349424919 is 919424943.

It is not a de Polignac number, because 349424919 - 24 = 349424903 is a prime.

It is a super-2 number, since 2×3494249192 = 244195548036313122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349422919) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331944 + ... + 332994.

It is an arithmetic number, because the mean of its divisors is an integer number (11631438).

Almost surely, 2349424919 is an apocalyptic number.

349424919 is a deficient number, since it is larger than the sum of its proper divisors (208884105).

349424919 is a wasteful number, since it uses less digits than its factorization.

349424919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1165 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 349424919 is about 18692.9109290126. The cubic root of 349424919 is about 704.3436837478.

The spelling of 349424919 in words is "three hundred forty-nine million, four hundred twenty-four thousand, nine hundred nineteen".

Divisors: 1 3 9 17 41 51 53 123 153 159 369 477 697 901 1051 2091 2173 2703 3153 6273 6519 8109 9459 17867 19557 36941 43091 53601 55703 110823 129273 160803 167109 332469 387819 501327 732547 946951 2197641 2283823 2840853 6592923 6851469 8522559 20554407 38824991 116474973 349424919