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348432932850 = 2352231072813359
BaseRepresentation
bin1010001001000000011…
…10001001111111110010
31020022100220000221100220
411010200032021333302
521202042312322400
6424022354553510
734113331030242
oct5044016117762
91208326027326
10348432932850
11124851341632
1257641598896
1326b1b026762
1412c156b1b22
1590e46ac7a0
hex5120389ff2

348432932850 has 192 divisors, whose sum is σ = 913621524480. Its totient is φ = 87705587200.

The previous prime is 348432932849. The next prime is 348432932867. The reversal of 348432932850 is 58239234843.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 348432932793 and 348432932802.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103729471 + ... + 103732829.

It is an arithmetic number, because the mean of its divisors is an integer number (4758445440).

Almost surely, 2348432932850 is an apocalyptic number.

348432932850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 348432932850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456810762240).

348432932850 is an abundant number, since it is smaller than the sum of its proper divisors (565188591630).

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

348432932850 is a wasteful number, since it uses less digits than its factorization.

348432932850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 348432932850 in words is "three hundred forty-eight billion, four hundred thirty-two million, nine hundred thirty-two thousand, eight hundred fifty".