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348477480 = 2332513193919
BaseRepresentation
bin10100110001010…
…101100000101000
3220021201111020100
4110301111200220
51203202234410
654325025400
711431003221
oct2461254050
9807644210
10348477480
1116978531a
1298855260
13572721c0
14343d2248
15208d78c0
hex14c55828

348477480 has 192 divisors, whose sum is σ = 1284192000. Its totient is φ = 81243648.

The previous prime is 348477473. The next prime is 348477497. The reversal of 348477480 is 84774843.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 86961 + ... + 90879.

It is an arithmetic number, because the mean of its divisors is an integer number (6688500).

Almost surely, 2348477480 is an apocalyptic number.

348477480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348477480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642096000).

348477480 is an abundant number, since it is smaller than the sum of its proper divisors (935714520).

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

348477480 is a wasteful number, since it uses less digits than its factorization.

348477480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 348477480 is about 18667.5515266464. The cubic root of 348477480 is about 703.7065161421.

The spelling of 348477480 in words is "three hundred forty-eight million, four hundred seventy-seven thousand, four hundred eighty".