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348889500 = 223253314161
BaseRepresentation
bin10100110010111…
…010000110011100
3220022111102102100
4110302322012130
51203303431000
654341525100
711434340361
oct2462720634
9808442370
10348889500
11169a36933
1298a13790
13573878bb
143449c468
1520969a00
hex14cba19c

348889500 has 288 divisors, whose sum is σ = 1182924288. Its totient is φ = 86400000.

The previous prime is 348889427. The next prime is 348889501. The reversal of 348889500 is 5988843.

348889500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348889501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5719470 + ... + 5719530.

It is an arithmetic number, because the mean of its divisors is an integer number (4107376).

Almost surely, 2348889500 is an apocalyptic number.

348889500 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 348889500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591462144).

348889500 is an abundant number, since it is smaller than the sum of its proper divisors (834034788).

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

348889500 is a wasteful number, since it uses less digits than its factorization.

348889500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 348889500 is about 18678.5839934402. The cubic root of 348889500 is about 703.9837477954.

The spelling of 348889500 in words is "three hundred forty-eight million, eight hundred eighty-nine thousand, five hundred".