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360442044 = 223229675153
BaseRepresentation
bin10101011110111…
…110100010111100
3221010020100112100
4111132332202330
51214233121134
655433305100
711634464304
oct2536764274
9833210470
10360442044
11175507496
12a0865190
13598a1021
1435c28604
152199c999
hex157be8bc

360442044 has 72 divisors (see below), whose sum is σ = 956788560. Its totient is φ = 114250752.

The previous prime is 360442001. The next prime is 360442081. The reversal of 360442044 is 440244063.

It is a junction number, because it is equal to n+sod(n) for n = 360441999 and 360442017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67372 + ... + 72524.

It is an arithmetic number, because the mean of its divisors is an integer number (13288730).

Almost surely, 2360442044 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 360442044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478394280).

360442044 is an abundant number, since it is smaller than the sum of its proper divisors (596346516).

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

360442044 is a wasteful number, since it uses less digits than its factorization.

360442044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 360442044 is about 18985.3112695052. The cubic root of 360442044 is about 711.6697090904.

The spelling of 360442044 in words is "three hundred sixty million, four hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 67 87 116 134 174 201 261 268 348 402 522 603 804 1044 1206 1943 2412 3886 5153 5829 7772 10306 11658 15459 17487 20612 23316 30918 34974 46377 61836 69948 92754 149437 185508 298874 345251 448311 597748 690502 896622 1035753 1344933 1381004 1793244 2071506 2689866 3107259 4143012 5379732 6214518 10012279 12429036 20024558 30036837 40049116 60073674 90110511 120147348 180221022 360442044