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3187668 = 22311193141
BaseRepresentation
bin1100001010001111010100
312222221122210
430022033110
51304001133
6152153420
736044331
oct14121724
95887583
103187668
111887a40
121098870
13877bc3
145cd988
1542e763
hex30a3d4

3187668 has 96 divisors (see below), whose sum is σ = 9031680. Its totient is φ = 864000.

The previous prime is 3187663. The next prime is 3187669. The reversal of 3187668 is 8667813.

It is a super-2 number, since 2×31876682 = 20322454556448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3187663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77728 + ... + 77768.

It is an arithmetic number, because the mean of its divisors is an integer number (94080).

Almost surely, 23187668 is an apocalyptic number.

3187668 is a gapful number since it is divisible by the number (38) 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 3187668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515840).

3187668 is an abundant number, since it is smaller than the sum of its proper divisors (5844012).

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

3187668 is a wasteful number, since it uses less digits than its factorization.

3187668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 3187668 is about 1785.4041559266. The cubic root of 3187668 is about 147.1717184363.

The spelling of 3187668 in words is "three million, one hundred eighty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 31 33 38 41 44 57 62 66 76 82 93 114 123 124 132 164 186 209 228 246 341 372 418 451 492 589 627 682 779 836 902 1023 1178 1254 1271 1353 1364 1558 1767 1804 2046 2337 2356 2508 2542 2706 3116 3534 3813 4092 4674 5084 5412 6479 7068 7626 8569 9348 12958 13981 15252 17138 19437 24149 25707 25916 27962 34276 38874 41943 48298 51414 55924 72447 77748 83886 96596 102828 144894 167772 265639 289788 531278 796917 1062556 1593834 3187668