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3482643240 = 233259674009
BaseRepresentation
bin1100111110010100…
…1110101100101000
322222201012121101200
43033211032230220
524113024040430
61333325044200
7152205656556
oct31745165450
98881177350
103482643240
11152795245a
128123b6660
134366a035b
14250760bd6
15155b2e460
hexcf94eb28

3482643240 has 48 divisors (see below), whose sum is σ = 11318591700. Its totient is φ = 928704768.

The previous prime is 3482643181. The next prime is 3482643251. The reversal of 3482643240 is 423462843.

3482643240 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 643 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3285353124 + 197290116 = 57318^2 + 14046^2 .

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 = 3482643195 and 3482643204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4836645 + ... + 4837364.

Almost surely, 23482643240 is an apocalyptic number.

3482643240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3482643240 is an abundant number, since it is smaller than the sum of its proper divisors (7835948460).

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

3482643240 is a wasteful number, since it uses less digits than its factorization.

3482643240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9674026 (or 9674019 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3482643240 is about 59013.9241196516. The cubic root of 3482643240 is about 1515.7805473631.

The spelling of 3482643240 in words is "three billion, four hundred eighty-two million, six hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9674009 19348018 29022027 38696036 48370045 58044054 77392072 87066081 96740090 116088108 145110135 174132162 193480180 232176216 290220270 348264324 386960360 435330405 580440540 696528648 870660810 1160881080 1741321620 3482643240