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2353040345 = 53761320749
BaseRepresentation
bin1000110001000000…
…1000101111011001
320001222122211112102
42030100020233121
514304334242340
61025253453145
7112211340635
oct21420105731
96058584472
102353040345
11aa8259047
125580411b5
132b6656386
14184717dc5
15db89c215
hex8c408bd9

2353040345 has 16 divisors (see below), whose sum is σ = 2904834000. Its totient is φ = 1828479744.

The previous prime is 2353040341. The next prime is 2353040357. The reversal of 2353040345 is 5430403532.

It can be written as a sum of positive squares in 8 ways, for example, as 574225369 + 1778814976 = 23963^2 + 42176^2 .

It is a cyclic number.

It is not a de Polignac number, because 2353040345 - 22 = 2353040341 is a prime.

It is a super-3 number, since 3×23530403453 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2353040341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103031 + ... + 123779.

It is an arithmetic number, because the mean of its divisors is an integer number (181552125).

Almost surely, 22353040345 is an apocalyptic number.

It is an amenable number.

2353040345 is a deficient number, since it is larger than the sum of its proper divisors (551793655).

2353040345 is a wasteful number, since it uses less digits than its factorization.

2353040345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21404.

The product of its (nonzero) digits is 21600, while the sum is 29.

The square root of 2353040345 is about 48508.1472022999. The cubic root of 2353040345 is about 1330.0760024030.

Adding to 2353040345 its reverse (5430403532), we get a palindrome (7783443877).

The spelling of 2353040345 in words is "two billion, three hundred fifty-three million, forty thousand, three hundred forty-five".

Divisors: 1 5 37 185 613 3065 20749 22681 103745 113405 767713 3838565 12719137 63595685 470608069 2353040345