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3242720 = 255131559
BaseRepresentation
bin1100010111101011100000
320002202011202
430113223200
51312231340
6153300332
736363665
oct14275340
96082152
103242720
111915338
1211046a8
13896c90
14605a6c
15440c15
hex317ae0

3242720 has 48 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 1196544.

The previous prime is 3242689. The next prime is 3242741. The reversal of 3242720 is 272423.

It is a happy number.

3242720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3242692 and 3242701.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1301 + ... + 2859.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 23242720 is an apocalyptic number.

3242720 is the 1040-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

3242720 is an abundant number, since it is smaller than the sum of its proper divisors (5012800).

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

3242720 is a wasteful number, since it uses less digits than its factorization.

3242720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 3242720 is about 1800.7553970487. The cubic root of 3242720 is about 148.0141208830.

The spelling of 3242720 in words is "three million, two hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1559 2080 3118 6236 7795 12472 15590 20267 24944 31180 40534 49888 62360 81068 101335 124720 162136 202670 249440 324272 405340 648544 810680 1621360 3242720