Search a number
-
+
2284349401 = 29377013037
BaseRepresentation
bin1000100000101000…
…0110011111011001
312220012101222021101
42020022012133121
514134243140101
61014401311401
7110415435535
oct21012063731
95805358241
102284349401
11a72501574
12539035561
132a5355649
14179556bc5
15d582e401
hex882867d9

2284349401 has 16 divisors (see below), whose sum is σ = 2431250640. Its totient is φ = 2142201600.

The previous prime is 2284349369. The next prime is 2284349437. The reversal of 2284349401 is 1049434822.

It can be written as a sum of positive squares in 8 ways, for example, as 802022400 + 1482327001 = 28320^2 + 38501^2 .

It is a cyclic number.

It is not a de Polignac number, because 2284349401 - 25 = 2284349369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2284349471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750655 + ... + 753691.

It is an arithmetic number, because the mean of its divisors is an integer number (151953165).

Almost surely, 22284349401 is an apocalyptic number.

It is an amenable number.

2284349401 is a deficient number, since it is larger than the sum of its proper divisors (146901239).

2284349401 is a wasteful number, since it uses less digits than its factorization.

2284349401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804.

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 2284349401 is about 47794.8679357941. The cubic root of 2284349401 is about 1317.0052633928.

The spelling of 2284349401 in words is "two billion, two hundred eighty-four million, three hundred forty-nine thousand, four hundred one".

Divisors: 1 29 37 701 1073 3037 20329 25937 88073 112369 752173 2128937 3258701 61739173 78770669 2284349401