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361982142 = 23323379769
BaseRepresentation
bin10101100100110…
…110100010111110
3221020010121011000
4111210312202332
51220131412032
655530311130
711653540344
oct2544664276
9836117130
10361982142
111763695a5
12a12884a6
1359cc0022
1436109994
1521ba3e7c
hex159368be

361982142 has 64 divisors (see below), whose sum is σ = 842688000. Its totient is φ = 114960384.

The previous prime is 361982111. The next prime is 361982143. The reversal of 361982142 is 241289163.

It is a super-2 number, since 2×3619821422 = 262062142253816328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 361982097 and 361982106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361982143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470334 + ... + 471102.

It is an arithmetic number, because the mean of its divisors is an integer number (13167000).

Almost surely, 2361982142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361982142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421344000).

361982142 is an abundant number, since it is smaller than the sum of its proper divisors (480705858).

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

361982142 is a wasteful number, since it uses less digits than its factorization.

361982142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1176 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 361982142 is about 19025.8282868316. The cubic root of 361982142 is about 712.6818771147.

The spelling of 361982142 in words is "three hundred sixty-one million, nine hundred eighty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 379 414 621 758 769 1137 1242 1538 2274 2307 3411 4614 6822 6921 8717 10233 13842 17434 17687 20466 20763 26151 35374 41526 52302 53061 78453 106122 156906 159183 235359 291451 318366 470718 477549 582902 874353 955098 1748706 2623059 5246118 6703373 7869177 13406746 15738354 20110119 40220238 60330357 120660714 180991071 361982142