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348287424 = 2639718701
BaseRepresentation
bin10100110000100…
…111000111000000
3220021100211112020
4110300213013000
51203130144144
654321001440
711426252142
oct2460470700
9807324466
10348287424
11169665551
1298783280
1357206844
1434382c92
152089b419
hex14c271c0

348287424 has 56 divisors (see below), whose sum is σ = 931060368. Its totient is φ = 114892800.

The previous prime is 348287411. The next prime is 348287501. The reversal of 348287424 is 424782843.

348287424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9274 + ... + 27974.

It is an arithmetic number, because the mean of its divisors is an integer number (16626078).

Almost surely, 2348287424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465530184).

348287424 is an abundant number, since it is smaller than the sum of its proper divisors (582772944).

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

348287424 is a wasteful number, since it uses less digits than its factorization.

348287424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18813 (or 18803 counting only the distinct ones).

The product of its digits is 344064, while the sum is 42.

The square root of 348287424 is about 18662.4602879685. The cubic root of 348287424 is about 703.5785614680.

The spelling of 348287424 in words is "three hundred forty-eight million, two hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 3104 4656 6208 9312 18624 18701 37402 56103 74804 112206 149608 224412 299216 448824 598432 897648 1196864 1795296 1813997 3590592 3627994 5441991 7255988 10883982 14511976 21767964 29023952 43535928 58047904 87071856 116095808 174143712 348287424