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348233106 = 231331791823
BaseRepresentation
bin10100110000011…
…001110110010010
3220021021002000110
4110300121312102
51203121424411
654315502150
711425634604
oct2460316622
9807232013
10348233106
11169628761
1298757956
13571b7bc0
143436b174
152088a2a6
hex14c19d92

348233106 has 64 divisors (see below), whose sum is σ = 784465920. Its totient is φ = 102323520.

The previous prime is 348233101. The next prime is 348233113. The reversal of 348233106 is 601332843.

It is a super-2 number, since 2×3482331062 = 242532592228814472, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (348233101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190111 + ... + 191933.

It is an arithmetic number, because the mean of its divisors is an integer number (12257280).

Almost surely, 2348233106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348233106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392232960).

348233106 is an abundant number, since it is smaller than the sum of its proper divisors (436232814).

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

348233106 is a wasteful number, since it uses less digits than its factorization.

348233106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 348233106 is about 18661.0049568612. The cubic root of 348233106 is about 703.5419834728.

Adding to 348233106 its reverse (601332843), we get a palindrome (949565949).

The spelling of 348233106 in words is "three hundred forty-eight million, two hundred thirty-three thousand, one hundred six".

Divisors: 1 2 3 6 13 26 31 39 62 78 79 93 158 186 237 403 474 806 1027 1209 1823 2054 2418 2449 3081 3646 4898 5469 6162 7347 10938 14694 23699 31837 47398 56513 63674 71097 95511 113026 142194 144017 169539 191022 288034 339078 432051 734669 864102 1469338 1872221 2204007 3744442 4408014 4464527 5616663 8929054 11233326 13393581 26787162 58038851 116077702 174116553 348233106