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3223404 = 22321723229
BaseRepresentation
bin1100010010111101101100
320001202200100
430102331230
51311122104
6153031100
736253452
oct14227554
96052610
103223404
111901878
1210b5490
1388b252
145dc9d2
1543a139
hex312f6c

3223404 has 72 divisors (see below), whose sum is σ = 9041760. Its totient is φ = 963072.

The previous prime is 3223399. The next prime is 3223439. The reversal of 3223404 is 4043223.

3223404 is a `hidden beast` number, since 322 + 340 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13962 + ... + 14190.

It is an arithmetic number, because the mean of its divisors is an integer number (125580).

Almost surely, 23223404 is an apocalyptic number.

3223404 is a gapful number since it is divisible by the number (34) 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 3223404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520880).

3223404 is an abundant number, since it is smaller than the sum of its proper divisors (5818356).

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

3223404 is a wasteful number, since it uses less digits than its factorization.

3223404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3223404 is about 1795.3840814711. The cubic root of 3223404 is about 147.7196421262.

Adding to 3223404 its reverse (4043223), we get a palindrome (7266627).

It can be divided in two parts, 32 and 23404, that added together give a triangular number (23436 = T216).

The spelling of 3223404 in words is "three million, two hundred twenty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 229 276 306 391 414 458 612 687 782 828 916 1173 1374 1564 2061 2346 2748 3519 3893 4122 4692 5267 7038 7786 8244 10534 11679 14076 15572 15801 21068 23358 31602 35037 46716 47403 63204 70074 89539 94806 140148 179078 189612 268617 358156 537234 805851 1074468 1611702 3223404