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3424324224 = 27317535087
BaseRepresentation
bin1100110000011011…
…0000101010000000
322211122110200202010
43030012300222000
524003111333344
61323443052520
7150600163356
oct31406605200
98748420663
103424324224
1114a7a3a522
127b6971140
13427591569
14246add7d6
1515095e8b9
hexcc1b0a80

3424324224 has 64 divisors (see below), whose sum is σ = 9102839040. Its totient is φ = 1140566016.

The previous prime is 3424324219. The next prime is 3424324247. The reversal of 3424324224 is 4224234243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3424324191 and 3424324200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670609 + ... + 675695.

It is an arithmetic number, because the mean of its divisors is an integer number (142231860).

Almost surely, 23424324224 is an apocalyptic number.

It is an amenable number.

3424324224 is an abundant number, since it is smaller than the sum of its proper divisors (5678514816).

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

3424324224 is a wasteful number, since it uses less digits than its factorization.

3424324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857 (or 6845 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 3424324224 is about 58517.7257247751. The cubic root of 3424324224 is about 1507.2719810016.

Adding to 3424324224 its reverse (4224234243), we get a palindrome (7648558467).

The spelling of 3424324224 in words is "three billion, four hundred twenty-four million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1753 3506 5087 5259 7012 10174 10518 14024 15261 20348 21036 28048 30522 40696 42072 56096 61044 81392 84144 112192 122088 162784 168288 224384 244176 325568 336576 488352 651136 673152 976704 1953408 8917511 17835022 26752533 35670044 53505066 71340088 107010132 142680176 214020264 285360352 428040528 570720704 856081056 1141441408 1712162112 3424324224