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348406431 = 3891304893
BaseRepresentation
bin10100110001000…
…100001010011111
3220021120212202220
4110301010022133
51203143001211
654323320423
711430256122
oct2461041237
9807525686
10348406431
111697369aa
1298820113
1357248a69
14343b43b9
15208c1806
hex14c4429f

348406431 has 8 divisors (see below), whose sum is σ = 469761840. Its totient is φ = 229660992.

The previous prime is 348406423. The next prime is 348406433. The reversal of 348406431 is 134604843.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 348406431 - 23 = 348406423 is a prime.

It is a super-3 number, since 3×3484064313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 348406392 and 348406401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348406433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 652180 + ... + 652713.

It is an arithmetic number, because the mean of its divisors is an integer number (58720230).

Almost surely, 2348406431 is an apocalyptic number.

348406431 is a deficient number, since it is larger than the sum of its proper divisors (121355409).

348406431 is a wasteful number, since it uses less digits than its factorization.

348406431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304985.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 348406431 is about 18665.6484216327. The cubic root of 348406431 is about 703.6586880466.

The spelling of 348406431 in words is "three hundred forty-eight million, four hundred six thousand, four hundred thirty-one".

Divisors: 1 3 89 267 1304893 3914679 116135477 348406431