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323000106 = 231113973881
BaseRepresentation
bin10011010000001…
…001011100101010
3211111210002211220
4103100021130222
51130142000411
652015002510
711001312162
oct2320113452
9744702756
10323000106
11156363840
1290209436
1351bc1930
1430c7d5a2
151d553b06
hex1340972a

323000106 has 64 divisors (see below), whose sum is σ = 766958976. Its totient is φ = 89395200.

The previous prime is 323000101. The next prime is 323000123. The reversal of 323000106 is 601000323.

It is a super-2 number, since 2×3230001062 = 208658136952022472, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (323000101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81286 + ... + 85166.

It is an arithmetic number, because the mean of its divisors is an integer number (11983734).

Almost surely, 2323000106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323000106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383479488).

323000106 is an abundant number, since it is smaller than the sum of its proper divisors (443958870).

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

323000106 is a wasteful number, since it uses less digits than its factorization.

323000106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 323000106 is about 17972.2037046101. The cubic root of 323000106 is about 686.1212786396.

Adding to 323000106 its reverse (601000323), we get a palindrome (924000429).

The spelling of 323000106 in words is "three hundred twenty-three million, one hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 97 143 194 286 291 429 582 858 1067 1261 2134 2522 3201 3783 3881 6402 7566 7762 11643 13871 23286 27742 41613 42691 50453 83226 85382 100906 128073 151359 256146 302718 376457 554983 752914 1109966 1129371 1664949 2258742 3329898 4141027 4893941 8282054 9787882 12423081 14681823 24846162 29363646 53833351 107666702 161500053 323000106