[go: up one dir, main page]

Search a number
-
+
5434224345 = 3251126116361
BaseRepresentation
bin1010000111110011…
…11010111011011001
3112000201110012101100
411003321322323121
542112130134340
62255122142013
7251444100444
oct50371727331
915021405340
105434224345
112339529200
121077ab1909
13687ac3b84
14397a1465b
1521c12a830
hex143e7aed9

5434224345 has 72 divisors (see below), whose sum is σ = 10523842056. Its totient is φ = 2591424000.

The previous prime is 5434224319. The next prime is 5434224347.

5434224345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 9018009 + 5425206336 = 3003^2 + 73656^2 .

It is not a de Polignac number, because 5434224345 - 27 = 5434224217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434224347) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323965 + ... + 340325.

It is an arithmetic number, because the mean of its divisors is an integer number (146164473).

Almost surely, 25434224345 is an apocalyptic number.

5434224345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5434224345 is a deficient number, since it is larger than the sum of its proper divisors (5089617711).

5434224345 is a wasteful number, since it uses less digits than its factorization.

5434224345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16455 (or 16441 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 5434224345 is about 73717.1916516086. The cubic root of 5434224345 is about 1758.1092324972.

It can be divided in two parts, 54342 and 24345, that added together give a palindrome (78687).

The spelling of 5434224345 in words is "five billion, four hundred thirty-four million, two hundred twenty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 61 99 121 165 183 305 363 495 549 605 671 915 1089 1815 2013 2745 3355 5445 6039 7381 10065 16361 22143 30195 36905 49083 66429 81805 110715 147249 179971 245415 332145 539913 736245 899855 998021 1619739 1979681 2699565 2994063 4990105 5939043 8098695 8982189 9898405 10978231 14970315 17817129 29695215 32934693 44910945 54891155 89085645 98804079 120760541 164673465 362281623 494020395 603802705 1086844869 1811408115 5434224345