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348601344 = 21037132943
BaseRepresentation
bin10100110001110…
…011110000000000
3220021221210010220
4110301303300000
51203220220334
654331423040
711432030310
oct2461636000
9807853126
10348601344
1116985a393
12988b4a80
13572b66b0
1434425440
152090e449
hex14c73c00

348601344 has 352 divisors, whose sum is σ = 1210513920. Its totient is φ = 86704128.

The previous prime is 348601343. The next prime is 348601367. The reversal of 348601344 is 443106843.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348601343) 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 31 ways as a sum of consecutive naturals, for example, 8106987 + ... + 8107029.

It is an arithmetic number, because the mean of its divisors is an integer number (3438960).

Almost surely, 2348601344 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 348601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605256960).

348601344 is an abundant number, since it is smaller than the sum of its proper divisors (861912576).

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

348601344 is a wasteful number, since it uses less digits than its factorization.

348601344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 348601344 is about 18670.8688603396. The cubic root of 348601344 is about 703.7898821975.

The spelling of 348601344 in words is "three hundred forty-eight million, six hundred one thousand, three hundred forty-four".