Search a number
-
+
330107712 = 263111491049
BaseRepresentation
bin10011101011010…
…000101101000000
3212000011012122120
4103223100231000
51134001421322
652431204240
711115604104
oct2353205500
9760135576
10330107712
1115a3788a0
1292676680
135350cb0c
1431bad904
151dea9a5c
hex13ad0b40

330107712 has 112 divisors (see below), whose sum is σ = 960120000. Its totient is φ = 99266560.

The previous prime is 330107711. The next prime is 330107749. The reversal of 330107712 is 217701033.

330107712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3301077122 = 217942203043749888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330107711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314164 + ... + 315212.

It is an arithmetic number, because the mean of its divisors is an integer number (8572500).

Almost surely, 2330107712 is an apocalyptic number.

330107712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480060000).

330107712 is an abundant number, since it is smaller than the sum of its proper divisors (630012288).

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

330107712 is a wasteful number, since it uses less digits than its factorization.

330107712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 330107712 is about 18168.8665579337. The cubic root of 330107712 is about 691.1175002272.

Adding to 330107712 its reverse (217701033), we get a palindrome (547808745).

The spelling of 330107712 in words is "three hundred thirty million, one hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 149 176 192 264 298 352 447 528 596 704 894 1049 1056 1192 1639 1788 2098 2112 2384 3147 3278 3576 4196 4768 4917 6294 6556 7152 8392 9536 9834 11539 12588 13112 14304 16784 19668 23078 25176 26224 28608 33568 34617 39336 46156 50352 52448 67136 69234 78672 92312 100704 104896 138468 156301 157344 184624 201408 276936 312602 314688 369248 468903 553872 625204 738496 937806 1107744 1250408 1719311 1875612 2215488 2500816 3438622 3751224 5001632 5157933 6877244 7502448 10003264 10315866 13754488 15004896 20631732 27508976 30009792 41263464 55017952 82526928 110035904 165053856 330107712