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398142 = 23373101
BaseRepresentation
bin1100001001100111110
3202020011000
41201030332
5100220032
612311130
73245523
oct1411476
9666130
10398142
11252148
121724a6
1310c2b4
14a514a
157ce7c
hex6133e

398142 has 32 divisors (see below), whose sum is σ = 905760. Its totient is φ = 129600.

The previous prime is 398129. The next prime is 398143. The reversal of 398142 is 241893.

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

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 398142.

It is not an unprimeable number, because it can be changed into a prime (398143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3892 + ... + 3992.

It is an arithmetic number, because the mean of its divisors is an integer number (28305).

2398142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452880).

398142 is an abundant number, since it is smaller than the sum of its proper divisors (507618).

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

398142 is a wasteful number, since it uses less digits than its factorization.

398142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 398142 is about 630.9849443529. The cubic root of 398142 is about 73.5663707029.

The spelling of 398142 in words is "three hundred ninety-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 73 101 146 202 219 303 438 606 657 909 1314 1818 1971 2727 3942 5454 7373 14746 22119 44238 66357 132714 199071 398142