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3040440 = 2335131949
BaseRepresentation
bin1011100110010010111000
312201110200220
423212102320
51234243230
6145100040
734562154
oct13462270
95643626
103040440
111797367
121027620
13825ba0
14592064
15400d10
hex2e64b8

3040440 has 64 divisors (see below), whose sum is σ = 9828000. Its totient is φ = 748032.

The previous prime is 3040409. The next prime is 3040469. The reversal of 3040440 is 440403.

3040440 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 (15).

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 15 ways as a sum of consecutive naturals, for example, 586 + ... + 2534.

Almost surely, 23040440 is an apocalyptic number.

3040440 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 3040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914000).

3040440 is an abundant number, since it is smaller than the sum of its proper divisors (6787560).

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

3040440 is a wasteful number, since it uses less digits than its factorization.

3040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3040440 is about 1743.6857515046. The cubic root of 3040440 is about 144.8701175423.

Adding to 3040440 its reverse (440403), we get a palindrome (3480843).

It can be divided in two parts, 30 and 40440, that added together give a triangular number (40470 = T284).

The spelling of 3040440 in words is "three million, forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1949 3898 5847 7796 9745 11694 15592 19490 23388 25337 29235 38980 46776 50674 58470 76011 77960 101348 116940 126685 152022 202696 233880 253370 304044 380055 506740 608088 760110 1013480 1520220 3040440