Search a number
-
+
3894696 = 2333131973
BaseRepresentation
bin1110110110110110101000
321022212112000
432312312220
51444112241
6215251000
745050541
oct16666650
97285460
103894696
112220163
121379a60
13a64970
147354c8
1551deb6
hex3b6da8

3894696 has 128 divisors (see below), whose sum is σ = 12432000. Its totient is φ = 1119744.

The previous prime is 3894691. The next prime is 3894697. The reversal of 3894696 is 6964983.

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

It is not an unprimeable number, because it can be changed into a prime (3894691) 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 31 ways as a sum of consecutive naturals, for example, 53316 + ... + 53388.

It is an arithmetic number, because the mean of its divisors is an integer number (97125).

Almost surely, 23894696 is an apocalyptic number.

3894696 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 3894696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216000).

3894696 is an abundant number, since it is smaller than the sum of its proper divisors (8537304).

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

3894696 is a wasteful number, since it uses less digits than its factorization.

3894696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3894696 is about 1973.4984165182. The cubic root of 3894696 is about 157.3347018618.

The spelling of 3894696 in words is "three million, eight hundred ninety-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 73 76 78 104 108 114 117 146 152 156 171 216 219 228 234 247 292 312 342 351 438 456 468 494 513 584 657 684 702 741 876 936 949 988 1026 1314 1368 1387 1404 1482 1752 1898 1971 1976 2052 2223 2628 2774 2808 2847 2964 3796 3942 4104 4161 4446 5256 5548 5694 5928 6669 7592 7884 8322 8541 8892 11096 11388 12483 13338 15768 16644 17082 17784 18031 22776 24966 25623 26676 33288 34164 36062 37449 49932 51246 53352 54093 68328 72124 74898 99864 102492 108186 144248 149796 162279 204984 216372 299592 324558 432744 486837 649116 973674 1298232 1947348 3894696