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348132150 = 232524491723
BaseRepresentation
bin10100110000000…
…001001100110110
3220021001221112100
4110300001030312
51203110212100
654313402530
711425034352
oct2460011466
9807057470
10348132150
11169569923
1298709446
1357180c72
1434342462
152086a400
hex14c01336

348132150 has 72 divisors (see below), whose sum is σ = 937942200. Its totient is φ = 92574720.

The previous prime is 348132131. The next prime is 348132173. The reversal of 348132150 is 51231843.

It is a happy number.

348132150 is a `hidden beast` number, since 3 + 481 + 32 + 150 = 666.

348132150 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 35 ways as a sum of consecutive naturals, for example, 201189 + ... + 202911.

It is an arithmetic number, because the mean of its divisors is an integer number (13026975).

Almost surely, 2348132150 is an apocalyptic number.

348132150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 348132150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468971100).

348132150 is an abundant number, since it is smaller than the sum of its proper divisors (589810050).

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

348132150 is a wasteful number, since it uses less digits than its factorization.

348132150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 348132150 is about 18658.2997617682. The cubic root of 348132150 is about 703.4739891244.

Adding to 348132150 its reverse (51231843), we get a palindrome (399363993).

It can be divided in two parts, 34813 and 2150, that added together give a palindrome (36963).

The spelling of 348132150 in words is "three hundred forty-eight million, one hundred thirty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 449 450 898 1347 1723 2245 2694 3446 4041 4490 5169 6735 8082 8615 10338 11225 13470 15507 17230 20205 22450 25845 31014 33675 40410 43075 51690 67350 77535 86150 101025 129225 155070 202050 258450 387675 773627 775350 1547254 2320881 3868135 4641762 6962643 7736270 11604405 13925286 19340675 23208810 34813215 38681350 58022025 69626430 116044050 174066075 348132150