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2333968 = 247213229
BaseRepresentation
bin1000111001110100010000
311101120121021
420321310100
51044141333
6122005224
725560400
oct10716420
94346537
102333968
1113545aa
12946814
13639460
1444a800
1531182d
hex239d10

2333968 has 60 divisors (see below), whose sum is σ = 5689740. Its totient is φ = 919296.

The previous prime is 2333957. The next prime is 2333993. The reversal of 2333968 is 8693332.

It can be written as a sum of positive squares in 2 ways, for example, as 1317904 + 1016064 = 1148^2 + 1008^2 .

It is an Ulam number.

It is a d-powerful number, because it can be written as 217 + 3 + 33 + 310 + 9 + 66 + 87 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10078 + ... + 10306.

It is an arithmetic number, because the mean of its divisors is an integer number (94829).

22333968 is an apocalyptic number.

2333968 is a gapful number since it is divisible by the number (28) 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 2333968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844870).

2333968 is an abundant number, since it is smaller than the sum of its proper divisors (3355772).

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

2333968 is a wasteful number, since it uses less digits than its factorization.

2333968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 2333968 is about 1527.7329609588. The cubic root of 2333968 is about 132.6472647682.

The spelling of 2333968 in words is "two million, three hundred thirty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 229 364 392 458 637 728 784 916 1274 1456 1603 1832 2548 2977 3206 3664 5096 5954 6412 10192 11221 11908 12824 20839 22442 23816 25648 41678 44884 47632 83356 89768 145873 166712 179536 291746 333424 583492 1166984 2333968