Search a number
-
+
398076384 = 2536416469
BaseRepresentation
bin10111101110100…
…010100111100000
31000202001101010210
4113232202213200
51303401421014
6103300054120
712602410356
oct2756424740
91022041123
10398076384
11194781752
12b1394340
1364619b74
143ac237d6
1524e33859
hex17ba29e0

398076384 has 48 divisors (see below), whose sum is σ = 1046742480. Its totient is φ = 132464640.

The previous prime is 398076361. The next prime is 398076389. The reversal of 398076384 is 483670893.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398076389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58302 + ... + 64770.

It is an arithmetic number, because the mean of its divisors is an integer number (21807135).

Almost surely, 2398076384 is an apocalyptic number.

It is an amenable number.

398076384 is an abundant number, since it is smaller than the sum of its proper divisors (648666096).

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

398076384 is a wasteful number, since it uses less digits than its factorization.

398076384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7123 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 398076384 is about 19951.8516433939. The cubic root of 398076384 is about 735.6232909953.

The spelling of 398076384 in words is "three hundred ninety-eight million, seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 641 1282 1923 2564 3846 5128 6469 7692 10256 12938 15384 19407 20512 25876 30768 38814 51752 61536 77628 103504 155256 207008 310512 621024 4146629 8293258 12439887 16586516 24879774 33173032 49759548 66346064 99519096 132692128 199038192 398076384