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349599957 = 37259173233
BaseRepresentation
bin10100110101100…
…111100011010101
3220100211111222120
4110311213203111
51203444144312
654405050153
711443356600
oct2465474325
9810744876
10349599957
1116a381693
12990b6959
13575760a5
1434605337
1520a5a28c
hex14d678d5

349599957 has 48 divisors (see below), whose sum is σ = 556994880. Its totient is φ = 194412288.

The previous prime is 349599947. The next prime is 349599979. The reversal of 349599957 is 759995943.

It is not a de Polignac number, because 349599957 - 24 = 349599941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 349599957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349599937) 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, 1500313 + ... + 1500545.

It is an arithmetic number, because the mean of its divisors is an integer number (11604060).

Almost surely, 2349599957 is an apocalyptic number.

It is an amenable number.

349599957 is a deficient number, since it is larger than the sum of its proper divisors (207394923).

349599957 is a wasteful number, since it uses less digits than its factorization.

349599957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 475 counting only the distinct ones).

The product of its digits is 13778100, while the sum is 60.

The square root of 349599957 is about 18697.5922781518. The cubic root of 349599957 is about 704.4612734623.

The spelling of 349599957 in words is "three hundred forty-nine million, five hundred ninety-nine thousand, nine hundred fifty-seven".

Divisors: 1 3 7 21 49 59 147 173 177 233 413 519 699 1211 1239 1631 2891 3633 4893 8477 8673 10207 11417 13747 25431 30621 34251 40309 41241 71449 96229 120927 214347 282163 288687 500143 673603 846489 1500429 1975141 2020809 2378231 5925423 7134693 16647617 49942851 116533319 349599957