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348880896 = 215327132
BaseRepresentation
bin10100110010111…
…000000000000000
3220022110222121200
4110302320000000
51203303142041
654341421200
711434303320
oct2462700000
9808428550
10348880896
11169a30421
1298a0a800
1357383a00
1434499280
15209671b6
hex14cb8000

348880896 has 288 divisors, whose sum is σ = 1247262120. Its totient is φ = 92012544.

The previous prime is 348880891. The next prime is 348880897. The reversal of 348880896 is 698088843.

348880896 is a `hidden beast` number, since 3 + 488 + 80 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348880891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26836986 + ... + 26836998.

Almost surely, 2348880896 is an apocalyptic number.

348880896 is a gapful number since it is divisible by the number (36) 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 348880896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623631060).

348880896 is an abundant number, since it is smaller than the sum of its proper divisors (898381224).

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

348880896 is an equidigital number, since it uses as much as digits as its factorization.

348880896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 348880896 is about 18678.3536747755. The cubic root of 348880896 is about 703.9779607426.

The spelling of 348880896 in words is "three hundred forty-eight million, eight hundred eighty thousand, eight hundred ninety-six".