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3340024992 = 253211597309
BaseRepresentation
bin1100011100010100…
…1011110010100000
322121202211211221100
43013011023302200
523320021244432
61311232154400
7145524513123
oct30705136240
98552754840
103340024992
1114643a2237
12792698a00
13412c87365
142398383ba
1514835c07c
hexc714bca0

3340024992 has 36 divisors (see below), whose sum is σ = 9498196890. Its totient is φ = 1113341568.

The previous prime is 3340024949. The next prime is 3340024993. The reversal of 3340024992 is 2994200433.

3340024992 is a `hidden beast` number, since 3 + 3 + 400 + 249 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1797420816 + 1542604176 = 42396^2 + 39276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33400249922 = 22311533894369200128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3340024993) 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, 5798367 + ... + 5798942.

Almost surely, 23340024992 is an apocalyptic number.

3340024992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3340024992 is an abundant number, since it is smaller than the sum of its proper divisors (6158171898).

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

3340024992 is a wasteful number, since it uses less digits than its factorization.

3340024992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11597325 (or 11597314 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3340024992 is about 57792.9493277510. The cubic root of 3340024992 is about 1494.8005150622.

The spelling of 3340024992 in words is "three billion, three hundred forty million, twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11597309 23194618 34791927 46389236 69583854 92778472 104375781 139167708 185556944 208751562 278335416 371113888 417503124 556670832 835006248 1113341664 1670012496 3340024992