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2836368 = 243219697
BaseRepresentation
bin1010110100011110010000
312100002202200
422310132100
51211230433
6140443200
733052203
oct12643620
95302680
102836368
111668007
12b49500
13784032
1453b93a
153b0613
hex2b4790

2836368 has 30 divisors (see below), whose sum is σ = 7938294. Its totient is φ = 945408.

The previous prime is 2836367. The next prime is 2836369. The reversal of 2836368 is 8636382.

It is an interprime number because it is at equal distance from previous prime (2836367) and next prime (2836369).

It can be written as a sum of positive squares in only one way, i.e., 1937664 + 898704 = 1392^2 + 948^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2 + 8 + 37 + 67 + 311 + 67 + 87 .

It is not an unprimeable number, because it can be changed into a prime (2836367) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9705 + ... + 9992.

22836368 is an apocalyptic number.

It is an amenable number.

2836368 is an abundant number, since it is smaller than the sum of its proper divisors (5101926).

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

2836368 is a wasteful number, since it uses less digits than its factorization.

2836368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19711 (or 19702 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2836368 is about 1684.1520121414. The cubic root of 2836368 is about 141.5535804944.

The spelling of 2836368 in words is "two million, eight hundred thirty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 19697 39394 59091 78788 118182 157576 177273 236364 315152 354546 472728 709092 945456 1418184 2836368