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3424080 = 2435111297
BaseRepresentation
bin1101000011111101010000
320102221221210
431003331100
51334032310
6201220120
741050512
oct15037520
96387853
103424080
111a29620
121191640
1392b6aa
14651bb2
15479820
hex343f50

3424080 has 80 divisors (see below), whose sum is σ = 11588544. Its totient is φ = 829440.

The previous prime is 3424073. The next prime is 3424093. The reversal of 3424080 is 804243.

It is a happy number.

3424080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1992 + ... + 3288.

Almost surely, 23424080 is an apocalyptic number.

3424080 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 3424080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794272).

3424080 is an abundant number, since it is smaller than the sum of its proper divisors (8164464).

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

3424080 is a wasteful number, since it uses less digits than its factorization.

3424080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3424080 is about 1850.4269777541. The cubic root of 3424080 is about 150.7236147095.

The spelling of 3424080 in words is "three million, four hundred twenty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1297 1320 2594 2640 3891 5188 6485 7782 10376 12970 14267 15564 19455 20752 25940 28534 31128 38910 42801 51880 57068 62256 71335 77820 85602 103760 114136 142670 155640 171204 214005 228272 285340 311280 342408 428010 570680 684816 856020 1141360 1712040 3424080