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361144124 = 2211173713049
BaseRepresentation
bin10101100001101…
…001111100111100
3221011120000121022
4111201221330330
51214423102444
655500323312
711643450215
oct2541517474
9834500538
10361144124
11175946a20
12a0b43538
1359a88763
1435d6c40c
1521a8a9ee
hex15869f3c

361144124 has 48 divisors (see below), whose sum is σ = 749800800. Its totient is φ = 150312960.

The previous prime is 361144097. The next prime is 361144129. The reversal of 361144124 is 421441163.

It is a happy number.

361144124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 361144093 and 361144102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361144129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21152 + ... + 34200.

It is an arithmetic number, because the mean of its divisors is an integer number (15620850).

Almost surely, 2361144124 is an apocalyptic number.

361144124 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

361144124 is an abundant number, since it is smaller than the sum of its proper divisors (388656676).

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

361144124 is a wasteful number, since it uses less digits than its factorization.

361144124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13118 (or 13116 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 361144124 is about 19003.7923583689. The cubic root of 361144124 is about 712.1314800535.

Adding to 361144124 its reverse (421441163), we get a palindrome (782585287).

The spelling of 361144124 in words is "three hundred sixty-one million, one hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 37 44 68 74 148 187 374 407 629 748 814 1258 1628 2516 6919 13049 13838 26098 27676 52196 143539 221833 287078 443666 482813 574156 887332 965626 1931252 2440163 4880326 5310943 8207821 9760652 10621886 16415642 21243772 32831284 90286031 180572062 361144124