Search a number
-
+
3409152 = 28323193
BaseRepresentation
bin1101000000010100000000
320102012110220
431000110000
51333043102
6201023040
740656135
oct15002400
96365426
103409152
111a1938a
121184a80
13924966
1464a58c
154751bc
hex340500

3409152 has 72 divisors (see below), whose sum is σ = 9516864. Its totient is φ = 1081344.

The previous prime is 3409141. The next prime is 3409171. The reversal of 3409152 is 2519043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17568 + ... + 17760.

Almost surely, 23409152 is an apocalyptic number.

3409152 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 3409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758432).

3409152 is an abundant number, since it is smaller than the sum of its proper divisors (6107712).

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

3409152 is a wasteful number, since it uses less digits than its factorization.

3409152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 3409152 is about 1846.3889081123. The cubic root of 3409152 is about 150.5042584786.

It can be divided in two parts, 34091 and 52, that added together give a palindrome (34143).

The spelling of 3409152 in words is "three million, four hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 193 256 276 368 384 386 552 579 736 768 772 1104 1158 1472 1544 2208 2316 2944 3088 4416 4439 4632 5888 6176 8832 8878 9264 12352 13317 17664 17756 18528 24704 26634 35512 37056 49408 53268 71024 74112 106536 142048 148224 213072 284096 426144 568192 852288 1136384 1704576 3409152