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361368 = 23337239
BaseRepresentation
bin1011000001110011000
3200100201000
41120032120
543030433
611425000
73033360
oct1301630
9610630
10361368
11227557
12155160
13c8637
14959a0
1572113
hex58398

361368 has 64 divisors (see below), whose sum is σ = 1152000. Its totient is φ = 102816.

The previous prime is 361363. The next prime is 361373. The reversal of 361368 is 863163.

It is an interprime number because it is at equal distance from previous prime (361363) and next prime (361373).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361368.

It is not an unprimeable number, because it can be changed into a prime (361363) by changing a digit.

361368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1393 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2361368 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 361368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576000).

361368 is an abundant number, since it is smaller than the sum of its proper divisors (790632).

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

361368 is a wasteful number, since it uses less digits than its factorization.

361368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 361368 is about 601.1389190528. The cubic root of 361368 is about 71.2278601571.

It can be divided in two parts, 361 and 368, that added together give a 6-th power (729 = 36).

The spelling of 361368 in words is "three hundred sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 239 252 378 478 504 717 756 956 1434 1512 1673 1912 2151 2868 3346 4302 5019 5736 6453 6692 8604 10038 12906 13384 15057 17208 20076 25812 30114 40152 45171 51624 60228 90342 120456 180684 361368