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385342431 = 3314143467
BaseRepresentation
bin10110111101111…
…101101111011111
3222212002102102220
4112331331233133
51242121424211
6102123120423
712356233215
oct2675755737
9885072386
10385342431
11188574521
12a9073113
1361aaba96
143926acb5
1523c6a806
hex16f7dbdf

385342431 has 8 divisors (see below), whose sum is σ = 530363904. Its totient is φ = 248607960.

The previous prime is 385342427. The next prime is 385342471. The reversal of 385342431 is 134243583.

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

It is not a de Polignac number, because 385342431 - 22 = 385342427 is a prime.

It is a super-2 number, since 2×3853424312 = 296977578257979522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 385342392 and 385342401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385342411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2071641 + ... + 2071826.

It is an arithmetic number, because the mean of its divisors is an integer number (66295488).

Almost surely, 2385342431 is an apocalyptic number.

385342431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

385342431 is a deficient number, since it is larger than the sum of its proper divisors (145021473).

385342431 is a wasteful number, since it uses less digits than its factorization.

385342431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143501.

The product of its digits is 34560, while the sum is 33.

The square root of 385342431 is about 19630.1408807986. The cubic root of 385342431 is about 727.6942516905.

The spelling of 385342431 in words is "three hundred eighty-five million, three hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 31 93 4143467 12430401 128447477 385342431