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3983274 = 232192613
BaseRepresentation
bin1111001100011110101010
321111101000200
433030132222
52004431044
6221213030
745600021
oct17143652
97441020
103983274
112280769
121401176
13a96089
147598b8
1553a369
hex3cc7aa

3983274 has 36 divisors (see below), whose sum is σ = 9123426. Its totient is φ = 1255824.

The previous prime is 3983263. The next prime is 3983279. The reversal of 3983274 is 4723893.

3983274 = 1362 + 1372 + ... + 2432.

It can be written as a sum of positive squares in only one way, i.e., 3980025 + 3249 = 1995^2 + 57^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3983279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6192 + ... + 6804.

Almost surely, 23983274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3983274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561713).

3983274 is an abundant number, since it is smaller than the sum of its proper divisors (5140152).

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

3983274 is a wasteful number, since it uses less digits than its factorization.

3983274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 637 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3983274 is about 1995.8141196013. The cubic root of 3983274 is about 158.5185388327.

The spelling of 3983274 in words is "three million, nine hundred eighty-three thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 613 722 1083 1226 1839 2166 3249 3678 5517 6498 11034 11647 23294 34941 69882 104823 209646 221293 442586 663879 1327758 1991637 3983274