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348094080 = 27325223271
BaseRepresentation
bin10100101111110…
…111111010000000
3220021000000022100
4110233313322000
51203103002310
654312510400
711424515355
oct2457677200
9807000270
10348094080
11169543264
12986ab400
1357169839
143433262c
152085dec0
hex14bf7e80

348094080 has 192 divisors, whose sum is σ = 1211857920. Its totient is φ = 92067840.

The previous prime is 348094069. The next prime is 348094081. The reversal of 348094080 is 80490843.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (348094081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1284345 + ... + 1284615.

It is an arithmetic number, because the mean of its divisors is an integer number (6311760).

Almost surely, 2348094080 is an apocalyptic number.

348094080 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 348094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605928960).

348094080 is an abundant number, since it is smaller than the sum of its proper divisors (863763840).

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

348094080 is a wasteful number, since it uses less digits than its factorization.

348094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 348094080 is about 18657.2795444566. The cubic root of 348094080 is about 703.4483453844.

The spelling of 348094080 in words is "three hundred forty-eight million, ninety-four thousand, eighty".