Search a number
-
+
3387712 = 26431231
BaseRepresentation
bin1100111011000101000000
320101010001211
430323011000
51331401322
6200335504
740536466
oct14730500
96333054
103387712
111a04269
121174594
13917c83
14642836
1546db77
hex33b140

3387712 has 28 divisors (see below), whose sum is σ = 6884416. Its totient is φ = 1653120.

The previous prime is 3387701. The next prime is 3387731. The reversal of 3387712 is 2177833.

It is a super-2 number, since 2×33877122 = 22953185189888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2137 + ... + 3367.

It is an arithmetic number, because the mean of its divisors is an integer number (245872).

Almost surely, 23387712 is an apocalyptic number.

3387712 is a gapful number since it is divisible by the number (32) 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 3387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442208).

3387712 is an abundant number, since it is smaller than the sum of its proper divisors (3496704).

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

3387712 is a wasteful number, since it uses less digits than its factorization.

3387712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1276 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 3387712 is about 1840.5738235670. The cubic root of 3387712 is about 150.1880899751.

The spelling of 3387712 in words is "three million, three hundred eighty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1231 1376 2462 2752 4924 9848 19696 39392 52933 78784 105866 211732 423464 846928 1693856 3387712