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3229380 = 22325711233
BaseRepresentation
bin1100010100011011000100
320002001212200
430110123010
51311320010
6153114500
736310050
oct14243304
96061780
103229380
111906310
1210b8a30
13890b9b
14600c60
1543bcc0
hex3146c4

3229380 has 144 divisors (see below), whose sum is σ = 12265344. Its totient is φ = 668160.

The previous prime is 3229379. The next prime is 3229381. The reversal of 3229380 is 839223.

It is an interprime number because it is at equal distance from previous prime (3229379) and next prime (3229381).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3229381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13744 + ... + 13976.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

Almost surely, 23229380 is an apocalyptic number.

3229380 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 3229380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672).

3229380 is an abundant number, since it is smaller than the sum of its proper divisors (9035964).

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

3229380 is a wasteful number, since it uses less digits than its factorization.

3229380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3229380 is about 1797.0475786690. The cubic root of 3229380 is about 147.8108735911.

The spelling of 3229380 in words is "three million, two hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 233 252 308 315 330 385 396 420 462 466 495 630 660 693 699 770 924 932 990 1155 1165 1260 1386 1398 1540 1631 1980 2097 2310 2330 2563 2772 2796 3262 3465 3495 4194 4620 4660 4893 5126 6524 6930 6990 7689 8155 8388 9786 10252 10485 12815 13860 13980 14679 15378 16310 17941 19572 20970 23067 24465 25630 29358 30756 32620 35882 38445 41940 46134 48930 51260 53823 58716 71764 73395 76890 89705 92268 97860 107646 115335 146790 153780 161469 179410 215292 230670 269115 293580 322938 358820 461340 538230 645876 807345 1076460 1614690 3229380