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675723312 = 2432111273359
BaseRepresentation
bin101000010001101…
…011100000110000
31202002111022010100
4220101223200300
52340441121222
6151015032400
722513360545
oct5021534060
91662438110
10675723312
11317478a20
1216a36b700
13a9cbc4a4
1465a58bcc
153e4c94ac
hex2846b830

675723312 has 120 divisors (see below), whose sum is σ = 2079866880. Its totient is φ = 203091840.

The previous prime is 675723311. The next prime is 675723313. The reversal of 675723312 is 213327576.

It is an interprime number because it is at equal distance from previous prime (675723311) and next prime (675723313).

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

It is not an unprimeable number, because it can be changed into a prime (675723311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199489 + ... + 202847.

It is an arithmetic number, because the mean of its divisors is an integer number (17332224).

Almost surely, 2675723312 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 675723312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039933440).

675723312 is an abundant number, since it is smaller than the sum of its proper divisors (1404143568).

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

675723312 is a wasteful number, since it uses less digits than its factorization.

675723312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3502 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 675723312 is about 25994.6785323458. The cubic root of 675723312 is about 877.5185395552.

The spelling of 675723312 in words is "six hundred seventy-five million, seven hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 127 132 144 176 198 254 264 381 396 508 528 762 792 1016 1143 1397 1524 1584 2032 2286 2794 3048 3359 4191 4572 5588 6096 6718 8382 9144 10077 11176 12573 13436 16764 18288 20154 22352 25146 26872 30231 33528 36949 40308 50292 53744 60462 67056 73898 80616 100584 110847 120924 147796 161232 201168 221694 241848 295592 332541 426593 443388 483696 591184 665082 853186 886776 1279779 1330164 1706372 1773552 2559558 2660328 3412744 3839337 4692523 5119116 5320656 6825488 7678674 9385046 10238232 14077569 15357348 18770092 20476464 28155138 30714696 37540184 42232707 56310276 61429392 75080368 84465414 112620552 168930828 225241104 337861656 675723312