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398816 = 25112103
BaseRepresentation
bin1100001010111100000
3202021001222
41201113200
5100230231
612314212
73250505
oct1412740
9667058
10398816
11252700
12172968
1310c6b2
14a54ac
157d27b
hex615e0

398816 has 36 divisors (see below), whose sum is σ = 871416. Its totient is φ = 179520.

The previous prime is 398813. The next prime is 398819. The reversal of 398816 is 618893.

It is an interprime number because it is at equal distance from previous prime (398813) and next prime (398819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398813) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3821 + ... + 3923.

It is an arithmetic number, because the mean of its divisors is an integer number (24206).

2398816 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 398816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435708).

398816 is an abundant number, since it is smaller than the sum of its proper divisors (472600).

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

398816 is a wasteful number, since it uses less digits than its factorization.

398816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 398816 is about 631.5188041539. The cubic root of 398816 is about 73.6078599041.

It can be divided in two parts, 3988 and 16, that added together give a palindrome (4004).

The spelling of 398816 in words is "three hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 121 176 206 242 352 412 484 824 968 1133 1648 1936 2266 3296 3872 4532 9064 12463 18128 24926 36256 49852 99704 199408 398816