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345872801 is a prime number
BaseRepresentation
bin10100100111011…
…001100110100001
3220002211011021202
4110213121212201
51202020412201
654153130545
711366604341
oct2447314641
9802734252
10345872801
1116826639a
12979b9a55
135686c781
1433d14d21
1520570c6b
hex149d99a1

345872801 has 2 divisors, whose sum is σ = 345872802. Its totient is φ = 345872800.

The previous prime is 345872771. The next prime is 345872851. The reversal of 345872801 is 108278543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245392225 + 100480576 = 15665^2 + 10024^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-345872801 is a prime.

It is not a weakly prime, because it can be changed into another prime (345872851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172936400 + 172936401.

It is an arithmetic number, because the mean of its divisors is an integer number (172936401).

Almost surely, 2345872801 is an apocalyptic number.

It is an amenable number.

345872801 is a deficient number, since it is larger than the sum of its proper divisors (1).

345872801 is an equidigital number, since it uses as much as digits as its factorization.

345872801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 345872801 is about 18597.6557931369. The cubic root of 345872801 is about 701.9488555906.

The spelling of 345872801 in words is "three hundred forty-five million, eight hundred seventy-two thousand, eight hundred one".