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349424442 = 2345340697
BaseRepresentation
bin10100110100111…
…100101100111010
3220100111121020000
4110310330230322
51203423040232
654401213430
711442026103
oct2464745472
9810447200
10349424442
1116a271834
1299031276
1357514233
143459b3aa
1520a2327c
hex14d3cb3a

349424442 has 40 divisors (see below), whose sum is σ = 797762196. Its totient is φ = 114274368.

The previous prime is 349424437. The next prime is 349424503. The reversal of 349424442 is 244424943.

It can be written as a sum of positive squares in 2 ways, for example, as 330839721 + 18584721 = 18189^2 + 4311^2 .

It is a super-2 number, since 2×3494244422 = 244194881334022728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 349424397 and 349424406.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11763 + ... + 28934.

Almost surely, 2349424442 is an apocalyptic number.

349424442 is an abundant number, since it is smaller than the sum of its proper divisors (448337754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349424442 is a wasteful number, since it uses less digits than its factorization.

349424442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40764 (or 40755 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 349424442 is about 18692.8981701608. The cubic root of 349424442 is about 704.3433632478.

It can be divided in two parts, 349424 and 442, that added together give a triangular number (349866 = T836).

The spelling of 349424442 in words is "three hundred forty-nine million, four hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2862 4293 8586 40697 81394 122091 244182 366273 732546 1098819 2156941 2197638 3296457 4313882 6470823 6592914 12941646 19412469 38824938 58237407 116474814 174712221 349424442