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3444540 = 22351117307
BaseRepresentation
bin1101001000111100111100
320111000000120
431020330330
51340211130
6201454540
741164251
oct15107474
96430016
103444540
111a42a30
1211a1450
13937ab8
14659428
15480910
hex348f3c

3444540 has 96 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 783360.

The previous prime is 3444527. The next prime is 3444541. The reversal of 3444540 is 454443.

It is a self number, because there is not a number n which added to its sum of digits gives 3444540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11067 + ... + 11373.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

Almost surely, 23444540 is an apocalyptic number.

3444540 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 3444540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588352).

3444540 is an abundant number, since it is smaller than the sum of its proper divisors (7732164).

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

3444540 is a wasteful number, since it uses less digits than its factorization.

3444540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 3444540 is about 1855.9471975248. The cubic root of 3444540 is about 151.0232264025.

Adding to 3444540 its reverse (454443), we get a palindrome (3898983).

It can be divided in two parts, 344 and 4540, that added together give a palindrome (4884).

The spelling of 3444540 in words is "three million, four hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 307 330 340 374 510 561 614 660 748 921 935 1020 1122 1228 1535 1842 1870 2244 2805 3070 3377 3684 3740 4605 5219 5610 6140 6754 9210 10131 10438 11220 13508 15657 16885 18420 20262 20876 26095 31314 33770 40524 50655 52190 57409 62628 67540 78285 101310 104380 114818 156570 172227 202620 229636 287045 313140 344454 574090 688908 861135 1148180 1722270 3444540