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6401328 = 243197019
BaseRepresentation
bin11000011010110100110000
3110001012222020
4120122310300
53114320303
6345111440
7105260523
oct30326460
913035866
106401328
11368245a
122188580
13143188b
14bc8bba
15866a53
hex61ad30

6401328 has 40 divisors (see below), whose sum is σ = 17409600. Its totient is φ = 2021184.

The previous prime is 6401327. The next prime is 6401341. The reversal of 6401328 is 8231046.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6401298 and 6401307.

It is not an unprimeable number, because it can be changed into a prime (6401327) 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, 2598 + ... + 4421.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 26401328 is an apocalyptic number.

It is an amenable number.

6401328 is an abundant number, since it is smaller than the sum of its proper divisors (11008272).

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

6401328 is a wasteful number, since it uses less digits than its factorization.

6401328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7049 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6401328 is about 2530.0845835663. The cubic root of 6401328 is about 185.6763941855.

The spelling of 6401328 in words is "six million, four hundred one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 7019 14038 21057 28076 42114 56152 84228 112304 133361 168456 266722 336912 400083 533444 800166 1066888 1600332 2133776 3200664 6401328