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3463204801 = 7412012
BaseRepresentation
bin1100111001101100…
…0100111111000001
322221100122000212111
43032123010333001
524043040023201
61331352255321
7151551520000
oct31633047701
98840560774
103463204801
111517986031
128079a1541
13432655714
1424bd40c37
1515408eb51
hexce6c4fc1

3463204801 has 15 divisors (see below), whose sum is σ = 4043532003. Its totient is φ = 2965989600.

The previous prime is 3463204763. The next prime is 3463204813. The reversal of 3463204801 is 1084023643.

The square root of 3463204801 is 58849.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5764801 + 3457440000 = 2401^2 + 58800^2 .

It is not a de Polignac number, because 3463204801 - 213 = 3463196609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3463204831) 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 14 ways as a sum of consecutive naturals, for example, 2883001 + ... + 2884201.

Almost surely, 23463204801 is an apocalyptic number.

3463204801 is the 58849-th square number.

3463204801 is the 29425-th centered octagonal number.

It is an amenable number.

3463204801 is a deficient number, since it is larger than the sum of its proper divisors (580327202).

3463204801 is an frugal number, since it uses more digits than its factorization.

3463204801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The cubic root of 3463204801 is about 1512.9551649348.

The spelling of 3463204801 in words is "three billion, four hundred sixty-three million, two hundred four thousand, eight hundred one".

Divisors: 1 7 49 343 1201 2401 8407 58849 411943 1442401 2883601 10096807 70677649 494743543 3463204801