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3037424 = 241317859
BaseRepresentation
bin1011100101100011110000
312201022120012
423211203300
51234144144
6145034052
734550315
oct13454360
95638505
103037424
111795075
121025928
138246c0
14590d0c
153eee9e
hex2e58f0

3037424 has 40 divisors (see below), whose sum is σ = 6718320. Its totient is φ = 1317888.

The previous prime is 3037423. The next prime is 3037429. The reversal of 3037424 is 4247303.

It is a happy number.

3037424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3037424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3037421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3107 + ... + 3965.

It is an arithmetic number, because the mean of its divisors is an integer number (167958).

Almost surely, 23037424 is an apocalyptic number.

3037424 is a gapful number since it is divisible by the number (34) 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 3037424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359160).

3037424 is an abundant number, since it is smaller than the sum of its proper divisors (3680896).

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

3037424 is a wasteful number, since it uses less digits than its factorization.

3037424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 3037424 is about 1742.8207021952. The cubic root of 3037424 is about 144.8221998257.

The spelling of 3037424 in words is "three million, thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 859 884 1718 1768 3436 3536 6872 11167 13744 14603 22334 29206 44668 58412 89336 116824 178672 189839 233648 379678 759356 1518712 3037424