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349526142 = 232721113147
BaseRepresentation
bin10100110101010…
…101100001111110
3220100200202201200
4110311111201332
51203434314032
654403320330
711442631440
oct2465254176
9810622650
10349526142
1116a331189
12990800a6
135754b604
14345c6490
1520a4347c
hex14d5587e

349526142 has 48 divisors (see below), whose sum is σ = 869661312. Its totient is φ = 99383760.

The previous prime is 349526131. The next prime is 349526159. The reversal of 349526142 is 241625943.

It is a happy number.

349526142 is a `hidden beast` number, since 3 + 495 + 26 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 349526097 and 349526106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20013 + ... + 33159.

It is an arithmetic number, because the mean of its divisors is an integer number (18117944).

Almost surely, 2349526142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349526142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434830656).

349526142 is an abundant number, since it is smaller than the sum of its proper divisors (520135170).

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

349526142 is a wasteful number, since it uses less digits than its factorization.

349526142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13373 (or 13370 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 349526142 is about 18695.6182566932. The cubic root of 349526142 is about 704.4116896756.

The spelling of 349526142 in words is "three hundred forty-nine million, five hundred twenty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 211 422 633 1266 1477 1899 2954 3798 4431 8862 13147 13293 26294 26586 39441 78882 92029 118323 184058 236646 276087 552174 828261 1656522 2774017 5548034 8322051 16644102 19418119 24966153 38836238 49932306 58254357 116508714 174763071 349526142