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309096 = 233653
BaseRepresentation
bin1001011011101101000
3120201000000
41023131220
534342341
610343000
72425104
oct1133550
9521000
10309096
111a1257
1212aa60
13aa8c8
1480904
15618b6
hex4b768

309096 has 56 divisors (see below), whose sum is σ = 885330. Its totient is φ = 101088.

The previous prime is 309091. The next prime is 309107. The reversal of 309096 is 690903.

It can be written as a sum of positive squares in only one way, i.e., 236196 + 72900 = 486^2 + 270^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309096.

It is not an unprimeable number, because it can be changed into a prime (309091) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5806 + ... + 5858.

2309096 is an apocalyptic number.

309096 is a gapful number since it is divisible by the number (36) 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 309096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442665).

309096 is an abundant number, since it is smaller than the sum of its proper divisors (576234).

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

309096 is an equidigital number, since it uses as much as digits as its factorization.

309096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 309096 is about 555.9640276133. The cubic root of 309096 is about 67.6131435760.

309096 divided by its product of nonzero digits (1458) gives a palindrome (212).

Adding to 309096 its reverse (690903), we get a palindrome (999999).

The spelling of 309096 in words is "three hundred nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 636 648 729 954 972 1272 1431 1458 1908 1944 2862 2916 3816 4293 5724 5832 8586 11448 12879 17172 25758 34344 38637 51516 77274 103032 154548 309096