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734864544 = 25326773769
BaseRepresentation
bin101011110011010…
…010010010100000
31220012202222122100
4223303102102200
53001111131134
6200530410400
724132150141
oct5363222240
91805688570
10734864544
113478a2677
12186130a00
13b93285bb
146d851ac8
15447ac999
hex2bcd24a0

734864544 has 72 divisors (see below), whose sum is σ = 2093413140. Its totient is φ = 244528128.

The previous prime is 734864519. The next prime is 734864549. The reversal of 734864544 is 445468437.

734864544 is a `hidden beast` number, since 7 + 3 + 48 + 64 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 544755600 + 190108944 = 23340^2 + 13788^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×7348645443 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 734864544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734864549) 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 11 ways as a sum of consecutive naturals, for example, 193092 + ... + 196860.

Almost surely, 2734864544 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 734864544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046706570).

734864544 is an abundant number, since it is smaller than the sum of its proper divisors (1358548596).

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

734864544 is a wasteful number, since it uses less digits than its factorization.

734864544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4451 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 734864544 is about 27108.3851234263. The cubic root of 734864544 is about 902.4069497352.

The spelling of 734864544 in words is "seven hundred thirty-four million, eight hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 677 1354 2031 2708 3769 4062 5416 6093 7538 8124 10832 11307 12186 15076 16248 21664 22614 24372 30152 32496 33921 45228 48744 60304 64992 67842 90456 97488 120608 135684 180912 194976 271368 361824 542736 1085472 2551613 5103226 7654839 10206452 15309678 20412904 22964517 30619356 40825808 45929034 61238712 81651616 91858068 122477424 183716136 244954848 367432272 734864544