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3064416 = 253137233
BaseRepresentation
bin1011101100001001100000
312202200120220
423230021200
51241030131
6145403040
735022105
oct13541140
95680526
103064416
111803383
121039480
13833a84
1459aaac
15407e96
hex2ec260

3064416 has 48 divisors (see below), whose sum is σ = 8137584. Its totient is φ = 1009664.

The previous prime is 3064367. The next prime is 3064417. The reversal of 3064416 is 6144603.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3064417) 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, 13036 + ... + 13268.

It is an arithmetic number, because the mean of its divisors is an integer number (169533).

Almost surely, 23064416 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 3064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068792).

3064416 is an abundant number, since it is smaller than the sum of its proper divisors (5073168).

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

3064416 is a wasteful number, since it uses less digits than its factorization.

3064416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3064416 is about 1750.5473429759. The cubic root of 3064416 is about 145.2499217425.

It can be divided in two parts, 30 and 64416, that added together give a palindrome (64446).

The spelling of 3064416 in words is "three million, sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 233 274 411 466 548 699 822 932 1096 1398 1644 1864 2192 2796 3288 3728 4384 5592 6576 7456 11184 13152 22368 31921 63842 95763 127684 191526 255368 383052 510736 766104 1021472 1532208 3064416