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348037248 = 27313231173
BaseRepresentation
bin10100101111101…
…010000010000000
3220020220010100110
4110233222002000
51203044142443
654311351320
711424160566
oct2457520200
9806803313
10348037248
11169504599
1298682540
1357149a00
1434319a36
152084c233
hex14bea080

348037248 has 192 divisors, whose sum is σ = 1039322880. Its totient is φ = 103034880.

The previous prime is 348037229. The next prime is 348037267. The reversal of 348037248 is 842730843.

It is an interprime number because it is at equal distance from previous prime (348037229) and next prime (348037267).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3480372482 = 242259851990827008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 23 ways as a sum of consecutive naturals, for example, 2011690 + ... + 2011862.

It is an arithmetic number, because the mean of its divisors is an integer number (5413140).

Almost surely, 2348037248 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 348037248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519661440).

348037248 is an abundant number, since it is smaller than the sum of its proper divisors (691285632).

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

348037248 is a wasteful number, since it uses less digits than its factorization.

348037248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 348037248 is about 18655.7564306570. The cubic root of 348037248 is about 703.4100601864.

The spelling of 348037248 in words is "three hundred forty-eight million, thirty-seven thousand, two hundred forty-eight".