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349129368 = 23327692717
BaseRepresentation
bin10100110011110…
…100101010011000
3220022221121110100
4110303310222120
51203334114433
654351015400
711436356610
oct2463645230
9808847410
10349129368
1116a090075
1298b0a560
135743cb33
1434521a40
15209b5b13
hex14cf4a98

349129368 has 48 divisors (see below), whose sum is σ = 1080640080. Its totient is φ = 99751104.

The previous prime is 349129367. The next prime is 349129369. The reversal of 349129368 is 863921943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (349129367) and next prime (349129369).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349129367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345855 + ... + 346862.

It is an arithmetic number, because the mean of its divisors is an integer number (22513335).

Almost surely, 2349129368 is an apocalyptic number.

It is an amenable number.

349129368 is an abundant number, since it is smaller than the sum of its proper divisors (731510712).

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

349129368 is a wasteful number, since it uses less digits than its factorization.

349129368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692736 (or 692729 counting only the distinct ones).

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

The square root of 349129368 is about 18685.0038265985. The cubic root of 349129368 is about 704.1450447959.

The spelling of 349129368 in words is "three hundred forty-nine million, one hundred twenty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 692717 1385434 2078151 2770868 4156302 4849019 5541736 6234453 8312604 9698038 12468906 14547057 16625208 19396076 24937812 29094114 38792152 43641171 49875624 58188228 87282342 116376456 174564684 349129368