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368334 = 23319359
BaseRepresentation
bin1011001111011001110
3200201021000
41121323032
543241314
611521130
73062601
oct1317316
9621230
10368334
1123180a
121591a6
13cb865
1498338
1574209
hex59ece

368334 has 32 divisors (see below), whose sum is σ = 864000. Its totient is φ = 115992.

The previous prime is 368327. The next prime is 368359. The reversal of 368334 is 433863.

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

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 368298 and 368307.

It is a congruent number.

It is an unprimeable number.

368334 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, 847 + ... + 1205.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2368334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

368334 is an abundant number, since it is smaller than the sum of its proper divisors (495666).

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

368334 is a wasteful number, since it uses less digits than its factorization.

368334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 368334 is about 606.9052644359. The cubic root of 368334 is about 71.6826309007.

The spelling of 368334 in words is "three hundred sixty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 359 513 718 1026 1077 2154 3231 6462 6821 9693 13642 19386 20463 40926 61389 122778 184167 368334