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3229080 = 233571379
BaseRepresentation
bin1100010100010110011000
320002001110120
430110112120
51311312310
6153113240
736306141
oct14242630
96061416
103229080
111906068
1210b8820
138909ca
14600ac8
1543bb70
hex314598

3229080 has 64 divisors (see below), whose sum is σ = 9849600. Its totient is φ = 846720.

The previous prime is 3229067. The next prime is 3229081. The reversal of 3229080 is 809223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3229080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3229081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8331 + ... + 8709.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 23229080 is an apocalyptic number.

3229080 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 3229080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924800).

3229080 is an abundant number, since it is smaller than the sum of its proper divisors (6620520).

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

3229080 is a wasteful number, since it uses less digits than its factorization.

3229080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3229080 is about 1796.9641064863. The cubic root of 3229080 is about 147.8062963828.

The spelling of 3229080 in words is "three million, two hundred twenty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 379 426 568 710 758 852 1065 1137 1420 1516 1704 1895 2130 2274 2840 3032 3790 4260 4548 5685 7580 8520 9096 11370 15160 22740 26909 45480 53818 80727 107636 134545 161454 215272 269090 322908 403635 538180 645816 807270 1076360 1614540 3229080