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3144064 = 27711229
BaseRepresentation
bin1011111111100110000000
312220201211211
423333212000
51301102224
6151215504
735503240
oct13774600
95821754
103144064
111858200
121077594
138610c1
145bbb20
15421894
hex2ff980

3144064 has 96 divisors (see below), whose sum is σ = 8139600. Its totient is φ = 1182720.

The previous prime is 3144059. The next prime is 3144067. The reversal of 3144064 is 4604413.

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108402 + ... + 108430.

Almost surely, 23144064 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 3144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069800).

3144064 is an abundant number, since it is smaller than the sum of its proper divisors (4995536).

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

3144064 is a wasteful number, since it uses less digits than its factorization.

3144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3144064 is about 1773.1508678057. The cubic root of 3144064 is about 146.4975829256.

Adding to 3144064 its reverse (4604413), we get a palindrome (7748477).

The spelling of 3144064 in words is "three million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 121 128 154 176 203 224 232 242 308 319 352 406 448 464 484 616 638 704 812 847 896 928 968 1232 1276 1408 1624 1694 1856 1936 2233 2464 2552 3248 3388 3509 3712 3872 4466 4928 5104 6496 6776 7018 7744 8932 9856 10208 12992 13552 14036 15488 17864 20416 24563 25984 27104 28072 35728 40832 49126 54208 56144 71456 98252 108416 112288 142912 196504 224576 285824 393008 449152 786016 1572032 3144064