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3223008 = 253219231
BaseRepresentation
bin1100010010110111100000
320001202010200
430102313200
51311114013
6153025200
736252345
oct14226740
96052120
103223008
111901548
1210b5200
1388b009
145dc7cc
15439e73
hex312de0

3223008 has 108 divisors (see below), whose sum is σ = 9985248. Its totient is φ = 984960.

The previous prime is 3223007. The next prime is 3223009. The reversal of 3223008 is 8003223.

It is an interprime number because it is at equal distance from previous prime (3223007) and next prime (3223009).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103953 + ... + 103983.

It is an arithmetic number, because the mean of its divisors is an integer number (92456).

Almost surely, 23223008 is an apocalyptic number.

3223008 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 3223008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992624).

3223008 is an abundant number, since it is smaller than the sum of its proper divisors (6762240).

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

3223008 is a wasteful number, since it uses less digits than its factorization.

3223008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3223008 is about 1795.2737952747. The cubic root of 3223008 is about 147.7135926855.

The spelling of 3223008 in words is "three million, two hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 72 76 93 96 114 124 144 152 171 186 228 248 279 288 304 342 361 372 456 496 558 589 608 684 722 744 912 992 1083 1116 1178 1368 1444 1488 1767 1824 2166 2232 2356 2736 2888 2976 3249 3534 4332 4464 4712 5301 5472 5776 6498 7068 8664 8928 9424 10602 11191 11552 12996 14136 17328 18848 21204 22382 25992 28272 33573 34656 42408 44764 51984 56544 67146 84816 89528 100719 103968 134292 169632 179056 201438 268584 358112 402876 537168 805752 1074336 1611504 3223008