Search a number
-
+
861070336 = 210721312
BaseRepresentation
bin110011010100101…
…110010000000000
32020000020220102221
4303110232100000
53230413222321
6221235420424
730223656100
oct6324562000
92200226387
10861070336
11402062985
12200454714
13109516099
1482505200
15508dbe41
hex3352e400

861070336 has 99 divisors (see below), whose sum is σ = 2017729947. Its totient is φ = 366213120.

The previous prime is 861070319. The next prime is 861070339. The reversal of 861070336 is 633070168.

The square root of 861070336 is 29344.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (861070339) 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 8 ways as a sum of consecutive naturals, for example, 6572991 + ... + 6573121.

Almost surely, 2861070336 is an apocalyptic number.

861070336 is the 29344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861070336

861070336 is an abundant number, since it is smaller than the sum of its proper divisors (1156659611).

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

861070336 is an equidigital number, since it uses as much as digits as its factorization.

861070336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The cubic root of 861070336 is about 951.3628955267.

The spelling of 861070336 in words is "eight hundred sixty-one million, seventy thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 131 196 224 256 262 392 448 512 524 784 896 917 1024 1048 1568 1792 1834 2096 3136 3584 3668 4192 6272 6419 7168 7336 8384 12544 12838 14672 16768 17161 25088 25676 29344 33536 34322 50176 51352 58688 67072 68644 102704 117376 120127 134144 137288 205408 234752 240254 274576 410816 469504 480508 549152 821632 840889 939008 961016 1098304 1643264 1681778 1922032 2196608 3286528 3363556 3844064 4393216 6573056 6727112 7688128 8786432 13454224 15376256 17572864 26908448 30752512 53816896 61505024 107633792 123010048 215267584 430535168 861070336