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3244140 = 2232567269
BaseRepresentation
bin1100011000000001101100
320002211010100
430120001230
51312303030
6153311100
736401064
oct14300154
96084110
103244140
111916409
121105490
13897813
146063a4
15441360
hex31806c

3244140 has 72 divisors (see below), whose sum is σ = 10024560. Its totient is φ = 849024.

The previous prime is 3244099. The next prime is 3244147. The reversal of 3244140 is 414423.

3244140 = T1 + T2 + ... + T268.

3244140 is a nontrivial binomial coefficient, being equal to C(270, 3).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3244147) by changing a digit.

It is the 268-th tetrahedral number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11926 + ... + 12194.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 23244140 is an apocalyptic number.

3244140 is a gapful number since it is divisible by the number (30) 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 3244140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280).

3244140 is an abundant number, since it is smaller than the sum of its proper divisors (6780420).

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

3244140 is a wasteful number, since it uses less digits than its factorization.

3244140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3244140 is about 1801.1496328734. The cubic root of 3244140 is about 148.0357230544.

Adding to 3244140 its reverse (414423), we get a palindrome (3658563).

The spelling of 3244140 in words is "three million, two hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 269 335 402 538 603 670 804 807 1005 1076 1206 1340 1345 1614 2010 2412 2421 2690 3015 3228 4020 4035 4842 5380 6030 8070 9684 12060 12105 16140 18023 24210 36046 48420 54069 72092 90115 108138 162207 180230 216276 270345 324414 360460 540690 648828 811035 1081380 1622070 3244140