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5322345444 = 22321316768099
BaseRepresentation
bin1001111010011110…
…01000101111100100
3111201220221011101100
410331033020233210
541400010023234
62240044200100
7245615122053
oct47517105744
914656834340
105322345444
1122913639a9
121046539030
1366a881540
14386c1039a
152123cb399
hex13d3c8be4

5322345444 has 72 divisors (see below), whose sum is σ = 14575579200. Its totient is φ = 1627814592.

The previous prime is 5322345443. The next prime is 5322345451. The reversal of 5322345444 is 4445432235.

5322345444 is a `hidden beast` number, since 532 + 2 + 34 + 54 + 44 = 666.

It is a super-2 number, since 2×53223454442 = 56654722050535114272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5322345399 and 5322345408.

It is not an unprimeable number, because it can be changed into a prime (5322345443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44107 + ... + 112205.

It is an arithmetic number, because the mean of its divisors is an integer number (202438600).

Almost surely, 25322345444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5322345444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7287789600).

5322345444 is an abundant number, since it is smaller than the sum of its proper divisors (9253233756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5322345444 is a wasteful number, since it uses less digits than its factorization.

5322345444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68289 (or 68284 counting only the distinct ones).

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

The square root of 5322345444 is about 72954.4066112528. The cubic root of 5322345444 is about 1745.9602538552.

Adding to 5322345444 its reverse (4445432235), we get a palindrome (9767777679).

The spelling of 5322345444 in words is "five billion, three hundred twenty-two million, three hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 167 234 334 468 501 668 1002 1503 2004 2171 3006 4342 6012 6513 8684 13026 19539 26052 39078 68099 78156 136198 204297 272396 408594 612891 817188 885287 1225782 1770574 2451564 2655861 3541148 5311722 7967583 10623444 11372533 15935166 22745066 31870332 34117599 45490132 68235198 102352797 136470396 147842929 204705594 295685858 409411188 443528787 591371716 887057574 1330586361 1774115148 2661172722 5322345444