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3324327840 = 253252308561
BaseRepresentation
bin1100011000100101…
…0011011110100000
322120200022100111100
43012021103132200
523302011442330
61305511514400
7145244214621
oct30611233640
98520270440
103324327840
111456550789
12789388a00
1340c94c5c2
1423770da48
15146cab060
hexc62537a0

3324327840 has 72 divisors (see below), whose sum is σ = 11344273668. Its totient is φ = 886487040.

The previous prime is 3324327833. The next prime is 3324327841. The reversal of 3324327840 is 487234233.

3324327840 is a `hidden beast` number, since 3 + 324 + 327 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3077586576 + 246741264 = 55476^2 + 15708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33243278402 = 22102311175598131200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3324327795 and 3324327804.

It is not an unprimeable number, because it can be changed into a prime (3324327841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1152841 + ... + 1155720.

Almost surely, 23324327840 is an apocalyptic number.

3324327840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3324327840 is an abundant number, since it is smaller than the sum of its proper divisors (8019945828).

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

3324327840 is a wasteful number, since it uses less digits than its factorization.

3324327840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308582 (or 2308571 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3324327840 is about 57656.9843123971. The cubic root of 3324327840 is about 1492.4551268884.

The spelling of 3324327840 in words is "three billion, three hundred twenty-four million, three hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2308561 4617122 6925683 9234244 11542805 13851366 18468488 20777049 23085610 27702732 34628415 36936976 41554098 46171220 55405464 69256830 73873952 83108196 92342440 103885245 110810928 138513660 166216392 184684880 207770490 221621856 277027320 332432784 369369760 415540980 554054640 664865568 831081960 1108109280 1662163920 3324327840