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349353940 = 225131343669
BaseRepresentation
bin10100110100101…
…011011111010100
3220100101000111211
4110310223133110
51203413311230
654355511204
711441313415
oct2464533724
9810330454
10349353940
1116a223871
1298bb8504
13574bb110
143457d80c
1520a0c42a
hex14d2b7d4

349353940 has 24 divisors (see below), whose sum is σ = 790077960. Its totient is φ = 128992128.

The previous prime is 349353937. The next prime is 349353941. The reversal of 349353940 is 49353943.

It can be written as a sum of positive squares in 4 ways, for example, as 15634116 + 333719824 = 3954^2 + 18268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 349353893 and 349353902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349353941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671575 + ... + 672094.

It is an arithmetic number, because the mean of its divisors is an integer number (32919915).

Almost surely, 2349353940 is an apocalyptic number.

It is an amenable number.

349353940 is an abundant number, since it is smaller than the sum of its proper divisors (440724020).

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

349353940 is a wasteful number, since it uses less digits than its factorization.

349353940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343691 (or 1343689 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 40.

The square root of 349353940 is about 18691.0122786327. The cubic root of 349353940 is about 704.2959891950.

The spelling of 349353940 in words is "three hundred forty-nine million, three hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1343669 2687338 5374676 6718345 13436690 17467697 26873380 34935394 69870788 87338485 174676970 349353940