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3364405025 = 52229587669
BaseRepresentation
bin1100100010001000…
…1011111100100001
322200110201111001112
43020202023330201
523342241430100
61313502513105
7146241654002
oct31042137441
98613644045
103364405025
111477134323
1279a895795
13418042307
1423cb831a9
1514a575b35
hexc888bf21

3364405025 has 12 divisors (see below), whose sum is σ = 4190087100. Its totient is φ = 2679766080.

The previous prime is 3364405007. The next prime is 3364405039. The reversal of 3364405025 is 5205044633.

It can be written as a sum of positive squares in 6 ways, for example, as 19749136 + 3344655889 = 4444^2 + 57833^2 .

It is not a de Polignac number, because 3364405025 - 224 = 3347627809 is a prime.

It is a super-3 number, since 3×33644050253 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3364404982 and 3364405000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288110 + ... + 299559.

It is an arithmetic number, because the mean of its divisors is an integer number (349173925).

Almost surely, 23364405025 is an apocalyptic number.

It is an amenable number.

3364405025 is a deficient number, since it is larger than the sum of its proper divisors (825682075).

3364405025 is a wasteful number, since it uses less digits than its factorization.

3364405025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587908 (or 587903 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 3364405025 is about 58003.4914897371. The cubic root of 3364405025 is about 1498.4287287198.

Adding to 3364405025 its reverse (5205044633), we get a palindrome (8569449658).

The spelling of 3364405025 in words is "three billion, three hundred sixty-four million, four hundred five thousand, twenty-five".

Divisors: 1 5 25 229 1145 5725 587669 2938345 14691725 134576201 672881005 3364405025