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348271056 = 2433741532
BaseRepresentation
bin10100110000100…
…011000111010000
3220021100000002000
4110300203013100
51203124133211
654320354000
711426153340
oct2460430720
9807300060
10348271056
11169654221
1298775900
13571cc263
143437ad20
1520896656
hex14c231d0

348271056 has 240 divisors, whose sum is σ = 1192840320. Its totient is φ = 95247360.

The previous prime is 348271051. The next prime is 348271057. The reversal of 348271056 is 650172843.

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

It is a self number, because there is not a number n which added to its sum of digits gives 348271056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348271051) by changing a digit.

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, 6571126 + ... + 6571178.

It is an arithmetic number, because the mean of its divisors is an integer number (4970168).

Almost surely, 2348271056 is an apocalyptic number.

348271056 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 348271056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596420160).

348271056 is an abundant number, since it is smaller than the sum of its proper divisors (844569264).

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

348271056 is a wasteful number, since it uses less digits than its factorization.

348271056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 348271056 is about 18662.0217554262. The cubic root of 348271056 is about 703.5675395806.

The spelling of 348271056 in words is "three hundred forty-eight million, two hundred seventy-one thousand, fifty-six".