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575345344 = 2675921767
BaseRepresentation
bin100010010010110…
…001001011000000
31111002121120102211
4202102301023000
52134242022334
6133031351504
720154232450
oct4222611300
91432546384
10575345344
11275849522
12140822594
1392275942
14565a9d60
153579ca64
hex224b12c0

575345344 has 56 divisors (see below), whose sum is σ = 1326977280. Its totient is φ = 242386176.

The previous prime is 575345341. The next prime is 575345357. The reversal of 575345344 is 443543575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 575345297 and 575345306.

It is not an unprimeable number, because it can be changed into a prime (575345341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15549 + ... + 37315.

Almost surely, 2575345344 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 575345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663488640).

575345344 is an abundant number, since it is smaller than the sum of its proper divisors (751631936).

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

575345344 is a wasteful number, since it uses less digits than its factorization.

575345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21845 (or 21835 counting only the distinct ones).

The product of its digits is 504000, while the sum is 40.

The square root of 575345344 is about 23986.3574558539. The cubic root of 575345344 is about 831.7181922812.

The spelling of 575345344 in words is "five hundred seventy-five million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 413 448 472 826 944 1652 1888 3304 3776 6608 13216 21767 26432 43534 87068 152369 174136 304738 348272 609476 696544 1218952 1284253 1393088 2437904 2568506 4875808 5137012 8989771 9751616 10274024 17979542 20548048 35959084 41096096 71918168 82192192 143836336 287672672 575345344