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3442648 = 2311192971
BaseRepresentation
bin1101001000011111011000
320110220102111
431020133120
51340131043
6201442104
741155606
oct15103730
96426374
103442648
111a41570
1211a0334
13936c91
14658876
1548009d
hex3487d8

3442648 has 64 divisors (see below), whose sum is σ = 7776000. Its totient is φ = 1411200.

The previous prime is 3442639. The next prime is 3442651. The reversal of 3442648 is 8462443.

3442648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 48453 + ... + 48523.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

Almost surely, 23442648 is an apocalyptic number.

3442648 is a gapful number since it is divisible by the number (38) 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 3442648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000).

3442648 is an abundant number, since it is smaller than the sum of its proper divisors (4333352).

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

3442648 is a wasteful number, since it uses less digits than its factorization.

3442648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

The square root of 3442648 is about 1855.4374147354. The cubic root of 3442648 is about 150.9955702398.

It can be divided in two parts, 344 and 2648, that added together give a palindrome (2992).

The spelling of 3442648 in words is "three million, four hundred forty-two thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 19 22 29 38 44 58 71 76 88 116 142 152 209 232 284 319 418 551 568 638 781 836 1102 1276 1349 1562 1672 2059 2204 2552 2698 3124 4118 4408 5396 6061 6248 8236 10792 12122 14839 16472 22649 24244 29678 39121 45298 48488 59356 78242 90596 118712 156484 181192 312968 430331 860662 1721324 3442648