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3065472 = 2733887
BaseRepresentation
bin1011101100011010000000
312202202001000
423230122000
51241043342
6145412000
735025144
oct13543200
95682030
103065472
111804153
12103a000
138343b7
1459b224
1540844c
hex2ec680

3065472 has 64 divisors (see below), whose sum is σ = 9057600. Its totient is φ = 1020672.

The previous prime is 3065459. The next prime is 3065477. The reversal of 3065472 is 2745603.

It is a happy number.

3065472 is a `hidden beast` number, since 3 + 0 + 654 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3065477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3013 + ... + 3899.

It is an arithmetic number, because the mean of its divisors is an integer number (141525).

Almost surely, 23065472 is an apocalyptic number.

3065472 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 3065472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528800).

3065472 is an abundant number, since it is smaller than the sum of its proper divisors (5992128).

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

3065472 is an equidigital number, since it uses as much as digits as its factorization.

3065472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3065472 is about 1750.8489369446. The cubic root of 3065472 is about 145.2666042362.

It can be divided in two parts, 306 and 5472, that added together give a triangular number (5778 = T107).

The spelling of 3065472 in words is "three million, sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 887 1152 1728 1774 2661 3456 3548 5322 7096 7983 10644 14192 15966 21288 23949 28384 31932 42576 47898 56768 63864 85152 95796 113536 127728 170304 191592 255456 340608 383184 510912 766368 1021824 1532736 3065472