Search a number
-
+
2002432328 = 2313212172
BaseRepresentation
bin111011101011010…
…1011000101001000
312011112221002202022
41313112223011020
513100110313303
6530411024012
7100423252061
oct16726530510
95145832668
102002432328
11938359056
1247a73b008
1325bb19500
1414dd2d568
15babe3438
hex775ab148

2002432328 has 36 divisors (see below), whose sum is σ = 4068932715. Its totient is φ = 923440128.

The previous prime is 2002432301. The next prime is 2002432337. The reversal of 2002432328 is 8232342002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 101646724 + 1900785604 = 10082^2 + 43598^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=31642.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002432297 and 2002432306.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1644776 + ... + 1645992.

Almost surely, 22002432328 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 2002432328

2002432328 is an abundant number, since it is smaller than the sum of its proper divisors (2066500387).

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

2002432328 is an equidigital number, since it uses as much as digits as its factorization.

2002432328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2002432328 is about 44748.5455406095. The cubic root of 2002432328 is about 1260.4315998545.

Multiplying 2002432328 by its product of nonzero digits (4608), we get a square (9227208167424 = 30376322).

The spelling of 2002432328 in words is "two billion, two million, four hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1217 1352 2434 4868 9736 15821 31642 63284 126568 205673 411346 822692 1481089 1645384 2962178 5924356 11848712 19254157 38508314 77016628 154033256 250304041 500608082 1001216164 2002432328