Search a number
-
+
3053664 = 253223461
BaseRepresentation
bin1011101001100001100000
312202010211200
423221201200
51240204124
6145241200
734645545
oct13514140
95663750
103053664
1117a6299
121033200
1382bc03
14596bcc
15404bc9
hex2e9860

3053664 has 72 divisors (see below), whose sum is σ = 9081072. Its totient is φ = 971520.

The previous prime is 3053629. The next prime is 3053669. The reversal of 3053664 is 4663503.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3053669) 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, 6394 + ... + 6854.

It is an arithmetic number, because the mean of its divisors is an integer number (126126).

Almost surely, 23053664 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 3053664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540536).

3053664 is an abundant number, since it is smaller than the sum of its proper divisors (6027408).

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

3053664 is a wasteful number, since it uses less digits than its factorization.

3053664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3053664 is about 1747.4736049509. The cubic root of 3053664 is about 145.0798450458.

It can be divided in two parts, 305 and 3664, that added together give a square (3969 = 632).

The spelling of 3053664 in words is "three million, fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 461 552 736 828 922 1104 1383 1656 1844 2208 2766 3312 3688 4149 5532 6624 7376 8298 10603 11064 14752 16596 21206 22128 31809 33192 42412 44256 63618 66384 84824 95427 127236 132768 169648 190854 254472 339296 381708 508944 763416 1017888 1526832 3053664