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3275424 = 253317223
BaseRepresentation
bin1100011111101010100000
320011102001000
430133222200
51314303144
6154112000
736561225
oct14375240
96142030
103275424
111937969
12111b600
138a8b29
1461394c
1544a769
hex31faa0

3275424 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1022976.

The previous prime is 3275417. The next prime is 3275471. The reversal of 3275424 is 4245723.

3275424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14577 + ... + 14799.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 23275424 is an apocalyptic number.

3275424 is a gapful number since it is divisible by the number (34) 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 3275424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3275424 is an abundant number, since it is smaller than the sum of its proper divisors (6885216).

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

3275424 is a wasteful number, since it uses less digits than its factorization.

3275424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 3275424 is about 1809.8132500344. The cubic root of 3275424 is about 148.5100493148.

Subtracting 3275424 from its reverse (4245723), we obtain a cube (970299 = 993).

The spelling of 3275424 in words is "three million, two hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 223 272 288 306 408 432 446 459 544 612 669 816 864 892 918 1224 1338 1632 1784 1836 2007 2448 2676 3568 3672 3791 4014 4896 5352 6021 7136 7344 7582 8028 10704 11373 12042 14688 15164 16056 21408 22746 24084 30328 32112 34119 45492 48168 60656 64224 68238 90984 96336 102357 121312 136476 181968 192672 204714 272952 363936 409428 545904 818856 1091808 1637712 3275424