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361112420 = 22523412467
BaseRepresentation
bin10101100001100…
…010001101100100
3221011111102010002
4111201202031210
51214421044140
655455520432
711643255614
oct2541421544
9834442102
10361112420
11175925119
12a0b29118
1359a771b6
1435d60a44
1521a81415
hex15862364

361112420 has 72 divisors (see below), whose sum is σ = 812814912. Its totient is φ = 134506240.

The previous prime is 361112417. The next prime is 361112429. The reversal of 361112420 is 24211163.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 361112392 and 361112401.

It is not an unprimeable number, because it can be changed into a prime (361112429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773027 + ... + 773493.

It is an arithmetic number, because the mean of its divisors is an integer number (11289096).

Almost surely, 2361112420 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 361112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406407456).

361112420 is an abundant number, since it is smaller than the sum of its proper divisors (451702492).

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

361112420 is a wasteful number, since it uses less digits than its factorization.

361112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 361112420 is about 19002.9581907660. The cubic root of 361112420 is about 712.1106406566.

Adding to 361112420 its reverse (24211163), we get a palindrome (385323583).

The spelling of 361112420 in words is "three hundred sixty-one million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 467 820 934 943 1681 1868 1886 2335 3362 3772 4670 4715 6724 8405 9340 9430 10741 16810 18860 19147 21482 33620 38294 38663 42964 53705 76588 77326 95735 107410 154652 191470 193315 214820 382940 386630 440381 773260 785027 880762 1570054 1761524 2201905 3140108 3925135 4403810 7850270 8807620 15700540 18055621 36111242 72222484 90278105 180556210 361112420