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2354287441 = 1144012
BaseRepresentation
bin1000110001010011…
…1001001101010001
320002002000012020011
42030110321031101
514310144144231
61025340314521
7112225053532
oct21424711521
96062005204
102354287441
11aa8a30000
12558542a41
132b69a1bbc
14184960689
15dba469b1
hex8c539351

2354287441 has 15 divisors (see below), whose sum is σ = 2596174315. Its totient is φ = 2134924000.

The previous prime is 2354287427. The next prime is 2354287451. The reversal of 2354287441 is 1447824532.

The square root of 2354287441 is 48521.

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., 2330861841 + 23425600 = 48279^2 + 4840^2 .

It is not a de Polignac number, because 2354287441 - 25 = 2354287409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2354287394 and 2354287403.

It is not an unprimeable number, because it can be changed into a prime (2354287451) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5870841 + ... + 5871241.

Almost surely, 22354287441 is an apocalyptic number.

2354287441 is the 48521-st square number.

2354287441 is the 24261-st centered octagonal number.

It is an amenable number.

2354287441 is a deficient number, since it is larger than the sum of its proper divisors (241886874).

2354287441 is an frugal number, since it uses more digits than its factorization.

2354287441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 412 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The cubic root of 2354287441 is about 1330.3109380984.

The spelling of 2354287441 in words is "two billion, three hundred fifty-four million, two hundred eighty-seven thousand, four hundred forty-one".

Divisors: 1 11 121 401 1331 4411 14641 48521 160801 533731 1768811 5871041 19456921 214026131 2354287441