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3200414321 = 131933133911
BaseRepresentation
bin1011111011000010…
…0111001001110001
322021001010220002202
42332300213021301
523023301224241
61245323552545
7142211033666
oct27660471161
98231126082
103200414321
1113a2606715
1275398b755
133c00852b0
14225095a6d
1513ae80d9b
hexbec27271

3200414321 has 16 divisors (see below), whose sum is σ = 3630023040. Its totient is φ = 2797182720.

The previous prime is 3200414299. The next prime is 3200414323. The reversal of 3200414321 is 1234140023.

It is a cyclic number.

It is not a de Polignac number, because 3200414321 - 222 = 3196220017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3200414293 and 3200414302.

It is not an unprimeable number, because it can be changed into a prime (3200414323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 816356 + ... + 820266.

It is an arithmetic number, because the mean of its divisors is an integer number (226876440).

Almost surely, 23200414321 is an apocalyptic number.

It is an amenable number.

3200414321 is a deficient number, since it is larger than the sum of its proper divisors (429608719).

3200414321 is a wasteful number, since it uses less digits than its factorization.

3200414321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3200414321 is about 56572.2044912517. The cubic root of 3200414321 is about 1473.6761955288.

Adding to 3200414321 its reverse (1234140023), we get a palindrome (4434554344).

The spelling of 3200414321 in words is "three billion, two hundred million, four hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 13 19 247 3313 3911 43069 50843 62947 74309 818311 966017 12957143 168442859 246185717 3200414321