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3020864 = 26711613
BaseRepresentation
bin1011100001100001000000
312200110211212
423201201000
51233131424
6144425252
734451120
oct13414100
95613755
103020864
111783690
121018228
13819cc2
14588c80
153ea10e
hex2e1840

3020864 has 56 divisors (see below), whose sum is σ = 7485888. Its totient is φ = 1175040.

The previous prime is 3020851. The next prime is 3020869. The reversal of 3020864 is 4680203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (3020869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4622 + ... + 5234.

Almost surely, 23020864 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 3020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742944).

3020864 is an abundant number, since it is smaller than the sum of its proper divisors (4465024).

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

3020864 is a wasteful number, since it uses less digits than its factorization.

3020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3020864 is about 1738.0632899869. The cubic root of 3020864 is about 144.5585304249.

The spelling of 3020864 in words is "three million, twenty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 613 616 704 1226 1232 2452 2464 4291 4904 4928 6743 8582 9808 13486 17164 19616 26972 34328 39232 47201 53944 68656 94402 107888 137312 188804 215776 274624 377608 431552 755216 1510432 3020864