Search a number
-
+
322334012 = 2271113192223
BaseRepresentation
bin10011001101100…
…110110100111100
3211110112021010202
4103031212310330
51130004142022
651552423032
710662536210
oct2315466474
9743467122
10322334012
11155a49350
128bb47a78
1351a1a6b0
1430b48940
151d471592
hex13366d3c

322334012 has 144 divisors (see below), whose sum is σ = 802916352. Its totient is φ = 109330560.

The previous prime is 322334003. The next prime is 322334017. The reversal of 322334012 is 210433223.

It is a super-2 number, since 2×3223340122 = 207798430584032288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322334017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1445333 + ... + 1445555.

It is an arithmetic number, because the mean of its divisors is an integer number (5575808).

Almost surely, 2322334012 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 322334012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401458176).

322334012 is an abundant number, since it is smaller than the sum of its proper divisors (480582340).

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

322334012 is a wasteful number, since it uses less digits than its factorization.

322334012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 322334012 is about 17953.6629131774. The cubic root of 322334012 is about 685.6493120398.

Adding to 322334012 its reverse (210433223), we get a palindrome (532767235).

The spelling of 322334012 in words is "three hundred twenty-two million, three hundred thirty-four thousand, twelve".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 223 247 266 286 308 361 364 418 446 494 532 572 722 836 892 988 1001 1444 1463 1561 1729 2002 2453 2527 2717 2899 2926 3122 3458 3971 4004 4237 4693 4906 5054 5434 5798 5852 6244 6916 7942 8474 9386 9812 10108 10868 11596 15884 16948 17171 18772 19019 20293 27797 29659 31889 32851 34342 38038 40586 46607 51623 55081 55594 59318 63778 65702 68684 76076 80503 81172 93214 103246 110162 111188 118636 127556 131404 161006 186428 206492 220324 223223 322012 326249 361361 385567 446446 563521 605891 652498 722722 771134 885533 892892 1046539 1127042 1211782 1304996 1445444 1542268 1771066 2093078 2254084 2423564 3542132 4186156 4241237 6198731 7325773 8482474 11511929 12397462 14651546 16964948 23023858 24794924 29303092 46047716 80583503 161167006 322334012