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331398 = 23317192
BaseRepresentation
bin1010000111010000110
3121211121000
41100322012
541101043
611034130
72550114
oct1207206
9554530
10331398
11206a91
1213b946
13b7ac2
1488ab4
15682d3
hex50e86

331398 has 48 divisors (see below), whose sum is σ = 822960. Its totient is φ = 98496.

The previous prime is 331391. The next prime is 331399. The reversal of 331398 is 893133.

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

It is a Curzon number.

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 331398.

It is not an unprimeable number, because it can be changed into a prime (331391) by changing a digit.

331398 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 23 ways as a sum of consecutive naturals, for example, 17433 + ... + 17451.

It is an arithmetic number, because the mean of its divisors is an integer number (17145).

2331398 is an apocalyptic number.

331398 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411480).

331398 is an abundant number, since it is smaller than the sum of its proper divisors (491562).

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

331398 is a wasteful number, since it uses less digits than its factorization.

331398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 331398 is about 575.6717814866. The cubic root of 331398 is about 69.2016783760.

It can be divided in two parts, 331 and 398, that added together give a 6-th power (729 = 36).

The spelling of 331398 in words is "three hundred thirty-one thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 361 459 513 646 722 918 969 1026 1083 1938 2166 2907 3249 5814 6137 6498 8721 9747 12274 17442 18411 19494 36822 55233 110466 165699 331398