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3243680 = 255111997
BaseRepresentation
bin1100010111111010100000
320002210111022
430113322200
51312244210
6153305012
736366536
oct14277240
96083438
103243680
111916030
121105168
1389754b
14606156
15441155
hex317ea0

3243680 has 96 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 1105920.

The previous prime is 3243677. The next prime is 3243683. The reversal of 3243680 is 863423.

3243680 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 (3243677) and next prime (3243683).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243683) 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, 33392 + ... + 33488.

It is an arithmetic number, because the mean of its divisors is an integer number (92610).

Almost surely, 23243680 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 3243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

3243680 is an abundant number, since it is smaller than the sum of its proper divisors (5646880).

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

3243680 is a wasteful number, since it uses less digits than its factorization.

3243680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3243680 is about 1801.0219321263. The cubic root of 3243680 is about 148.0287258583.

It can be divided in two parts, 324 and 3680, that added together give a palindrome (4004).

The spelling of 3243680 in words is "three million, two hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 97 110 152 160 176 190 194 209 220 304 352 380 388 418 440 485 608 760 776 836 880 970 1045 1067 1520 1552 1672 1760 1843 1940 2090 2134 3040 3104 3344 3686 3880 4180 4268 5335 6688 7372 7760 8360 8536 9215 10670 14744 15520 16720 17072 18430 20273 21340 29488 33440 34144 36860 40546 42680 58976 73720 81092 85360 101365 147440 162184 170720 202730 294880 324368 405460 648736 810920 1621840 3243680