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398976 = 2731039
BaseRepresentation
bin1100001011010000000
3202021021220
41201122000
5100231401
612315040
73251124
oct1413200
9667256
10398976
11252836
12172a80
1310c7a6
14a5584
157d336
hex61680

398976 has 32 divisors (see below), whose sum is σ = 1060800. Its totient is φ = 132864.

The previous prime is 398969. The next prime is 398977. The reversal of 398976 is 679893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (398977) by changing a digit.

398976 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 3 ways as a sum of consecutive naturals, for example, 136 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (33150).

2398976 is an apocalyptic number.

It is an amenable number.

398976 is an abundant number, since it is smaller than the sum of its proper divisors (661824).

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

398976 is a wasteful number, since it uses less digits than its factorization.

398976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1044 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 398976 is about 631.6454701809. The cubic root of 398976 is about 73.6177021062.

It can be divided in two parts, 39897 and 6, that added together give a triangular number (39903 = T282).

The spelling of 398976 in words is "three hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1039 2078 3117 4156 6234 8312 12468 16624 24936 33248 49872 66496 99744 132992 199488 398976