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398940 = 223561109
BaseRepresentation
bin1100001011001011100
3202021020120
41201121130
5100231230
612314540
73251043
oct1413134
9667216
10398940
11252803
12172a50
1310c779
14a555a
157d310
hex6165c

398940 has 48 divisors (see below), whose sum is σ = 1145760. Its totient is φ = 103680.

The previous prime is 398933. The next prime is 398941. The reversal of 398940 is 49893.

398940 is nontrivially palindromic in base 14.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398941) by changing a digit.

398940 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, 3606 + ... + 3714.

It is an arithmetic number, because the mean of its divisors is an integer number (23870).

2398940 is an apocalyptic number.

398940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572880).

398940 is an abundant number, since it is smaller than the sum of its proper divisors (746820).

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

398940 is a wasteful number, since it uses less digits than its factorization.

398940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 398940 is about 631.6169725395. The cubic root of 398940 is about 73.6154878402.

The spelling of 398940 in words is "three hundred ninety-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 109 122 183 218 244 305 327 366 436 545 610 654 732 915 1090 1220 1308 1635 1830 2180 3270 3660 6540 6649 13298 19947 26596 33245 39894 66490 79788 99735 132980 199470 398940