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3674664 = 2332723317
BaseRepresentation
bin1110000001001000101000
320220200200200
432001020220
51420042124
6210432200
743143210
oct16011050
96820620
103674664
11208a914
121292660
139b8776
146b9240
154c8bc9
hex381228

3674664 has 96 divisors (see below), whose sum is σ = 11905920. Its totient is φ = 1001088.

The previous prime is 3674663. The next prime is 3674689. The reversal of 3674664 is 4664763.

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 38 + 66 + 7 + 43 + 68 + 68 + 49 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3674663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11434 + ... + 11750.

It is an arithmetic number, because the mean of its divisors is an integer number (124020).

Almost surely, 23674664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3674664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952960).

3674664 is an abundant number, since it is smaller than the sum of its proper divisors (8231256).

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

3674664 is a wasteful number, since it uses less digits than its factorization.

3674664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 3674664 is about 1916.9413136557. The cubic root of 3674664 is about 154.3141952124.

Subtracting 3674664 from its reverse (4664763), we obtain a palindrome (990099).

The spelling of 3674664 in words is "three million, six hundred seventy-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 317 322 414 483 504 552 634 644 828 951 966 1268 1288 1449 1656 1902 1932 2219 2536 2853 2898 3804 3864 4438 5706 5796 6657 7291 7608 8876 11412 11592 13314 14582 17752 19971 21873 22824 26628 29164 39942 43746 51037 53256 58328 65619 79884 87492 102074 131238 153111 159768 174984 204148 262476 306222 408296 459333 524952 612444 918666 1224888 1837332 3674664