Search a number
-
+
3384672 = 25335257
BaseRepresentation
bin1100111010010101100000
320100221220020
430322111200
51331302142
6200313440
740524564
oct14722540
96327806
103384672
111a01a55
121172880
13916785
146416a4
1546ccec
hex33a560

3384672 has 24 divisors (see below), whose sum is σ = 8885016. Its totient is φ = 1128192.

The previous prime is 3384671. The next prime is 3384691. The reversal of 3384672 is 2764833.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33846722 = 22912009095168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17533 + ... + 17724.

It is an arithmetic number, because the mean of its divisors is an integer number (370209).

Almost surely, 23384672 is an apocalyptic number.

3384672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3384672 is an abundant number, since it is smaller than the sum of its proper divisors (5500344).

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

3384672 is a wasteful number, since it uses less digits than its factorization.

3384672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35270 (or 35262 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 3384672 is about 1839.7478088042. The cubic root of 3384672 is about 150.1431522284.

The spelling of 3384672 in words is "three million, three hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 35257 70514 105771 141028 211542 282056 423084 564112 846168 1128224 1692336 3384672