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348102144 = 2933132149
BaseRepresentation
bin10100101111111…
…001111000000000
3220021000102101000
4110233321320000
51203103232034
654313012000
711424551025
oct2457717000
9807012330
10348102144
11169549325
12986b4000
1357170400
143433554c
1520861599
hex14bf9e00

348102144 has 240 divisors, whose sum is σ = 1123254000. Its totient is φ = 106389504.

The previous prime is 348102133. The next prime is 348102151. The reversal of 348102144 is 441201843.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2336182 + ... + 2336330.

It is an arithmetic number, because the mean of its divisors is an integer number (4680225).

Almost surely, 2348102144 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 348102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561627000).

348102144 is an abundant number, since it is smaller than the sum of its proper divisors (775151856).

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

348102144 is a wasteful number, since it uses less digits than its factorization.

348102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 348102144 is about 18657.4956518821. The cubic root of 348102144 is about 703.4537774060.

Adding to 348102144 its reverse (441201843), we get a palindrome (789303987).

The spelling of 348102144 in words is "three hundred forty-eight million, one hundred two thousand, one hundred forty-four".