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3401805625 = 5423332
BaseRepresentation
bin1100101011000011…
…0110111100111001
322210002002122000221
43022300312330321
523431330240000
61321320300041
7150204604441
oct31260667471
98702078027
103401805625
111496259a09
127ab311621
13422a0894a
14243b1b121
1514d9b261a
hexcac36f39

3401805625 has 15 divisors (see below), whose sum is σ = 4252719163. Its totient is φ = 2720278000.

The previous prime is 3401805601. The next prime is 3401805661. The reversal of 3401805625 is 5265081043.

The square root of 3401805625 is 58325.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3020931369 + 380874256 = 54963^2 + 19516^2 .

It is not a de Polignac number, because 3401805625 - 27 = 3401805497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1456959 + ... + 1459291.

Almost surely, 23401805625 is an apocalyptic number.

3401805625 is the 58325-th square number.

3401805625 is the 29163-rd centered octagonal number.

It is an amenable number.

3401805625 is a deficient number, since it is larger than the sum of its proper divisors (850913538).

3401805625 is an frugal number, since it uses more digits than its factorization.

3401805625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The cubic root of 3401805625 is about 1503.9607362111.

Adding to 3401805625 its reverse (5265081043), we get a palindrome (8666886668).

The spelling of 3401805625 in words is "three billion, four hundred one million, eight hundred five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 2333 11665 58325 291625 1458125 5442889 27214445 136072225 680361125 3401805625