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348668840 = 23513670517
BaseRepresentation
bin10100110010000…
…100001110101000
3220022002012201202
4110302010032220
51203224400330
654333103332
711432431142
oct2462041650
9808065652
10348668840
111698a6073
1298927b48
135730b330
1434441c92
1520924445
hex14c843a8

348668840 has 32 divisors (see below), whose sum is σ = 844852680. Its totient is φ = 128739072.

The previous prime is 348668833. The next prime is 348668843. The reversal of 348668840 is 48866843.

348668840 = 29712 + 29722 + ... + 30092.

It can be written as a sum of positive squares in 4 ways, for example, as 301855876 + 46812964 = 17374^2 + 6842^2 .

It is not an unprimeable number, because it can be changed into a prime (348668843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334739 + ... + 335778.

Almost surely, 2348668840 is an apocalyptic number.

It is an amenable number.

348668840 is an abundant number, since it is smaller than the sum of its proper divisors (496183840).

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

348668840 is a wasteful number, since it uses less digits than its factorization.

348668840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670541 (or 670537 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The square root of 348668840 is about 18672.6762945219. The cubic root of 348668840 is about 703.8353017359.

The spelling of 348668840 in words is "three hundred forty-eight million, six hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 670517 1341034 2682068 3352585 5364136 6705170 8716721 13410340 17433442 26820680 34866884 43583605 69733768 87167210 174334420 348668840