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348942384 = 243372329173
BaseRepresentation
bin10100110011000…
…111000000110000
3220022121002222000
4110303013000300
51203312124014
654343014000
711434650510
oct2463070060
9808532860
10348942384
11169a7263a
1298a3a300
13573a59ab
14344b3840
152097a509
hex14cc7030

348942384 has 320 divisors, whose sum is σ = 1242777600. Its totient is φ = 91542528.

The previous prime is 348942383. The next prime is 348942397. The reversal of 348942384 is 483249843.

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

It is not an unprimeable number, because it can be changed into a prime (348942383) 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 63 ways as a sum of consecutive naturals, for example, 2016922 + ... + 2017094.

It is an arithmetic number, because the mean of its divisors is an integer number (3883680).

Almost surely, 2348942384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348942384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621388800).

348942384 is an abundant number, since it is smaller than the sum of its proper divisors (893835216).

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

348942384 is a wasteful number, since it uses less digits than its factorization.

348942384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 348942384 is about 18679.9995717345. Note that the first 3 decimals coincide. The cubic root of 348942384 is about 704.0193154997.

The spelling of 348942384 in words is "three hundred forty-eight million, nine hundred forty-two thousand, three hundred eighty-four".