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3248020 = 2251741233
BaseRepresentation
bin1100011000111110010100
320010000110001
430120332110
51312414040
6153341044
736415306
oct14307624
96100401
103248020
111919316
121107784
13899509
14607976
1544259a
hex318f94

3248020 has 48 divisors (see below), whose sum is σ = 7429968. Its totient is φ = 1187840.

The previous prime is 3248017. The next prime is 3248023. The reversal of 3248020 is 208423.

It is a happy number.

3248020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3248017) and next prime (3248023).

It can be written as a sum of positive squares in 8 ways, for example, as 412164 + 2835856 = 642^2 + 1684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3248023) by changing a digit.

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, 13824 + ... + 14056.

It is an arithmetic number, because the mean of its divisors is an integer number (154791).

Almost surely, 23248020 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 3248020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714984).

3248020 is an abundant number, since it is smaller than the sum of its proper divisors (4181948).

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

3248020 is a wasteful number, since it uses less digits than its factorization.

3248020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3248020 is about 1802.2264008720. The cubic root of 3248020 is about 148.0947165803.

The spelling of 3248020 in words is "three million, two hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 233 340 410 466 697 820 932 1165 1394 2330 2788 3485 3961 4660 6970 7922 9553 13940 15844 19106 19805 38212 39610 47765 79220 95530 162401 191060 324802 649604 812005 1624010 3248020