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3200208 = 2431121929
BaseRepresentation
bin1100001101010011010000
320000120212020
430031103100
51304401313
6152331440
736126024
oct14152320
96016766
103200208
111896400
1210a3b80
1388081b
145d4384
15433323
hex30d4d0

3200208 has 120 divisors (see below), whose sum is σ = 9895200. Its totient is φ = 887040.

The previous prime is 3200207. The next prime is 3200209. The reversal of 3200208 is 8020023.

It is an interprime number because it is at equal distance from previous prime (3200207) and next prime (3200209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110338 + ... + 110366.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

Almost surely, 23200208 is an apocalyptic number.

3200208 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 3200208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947600).

3200208 is an abundant number, since it is smaller than the sum of its proper divisors (6694992).

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

3200208 is a wasteful number, since it uses less digits than its factorization.

3200208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3200208 is about 1788.9125188225. The cubic root of 3200208 is about 147.3644527037.

The spelling of 3200208 in words is "three million, two hundred thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 29 33 38 44 48 57 58 66 76 87 88 114 116 121 132 152 174 176 209 228 232 242 264 304 319 348 363 418 456 464 484 528 551 627 638 696 726 836 912 957 968 1102 1254 1276 1392 1452 1653 1672 1914 1936 2204 2299 2508 2552 2904 3306 3344 3509 3828 4408 4598 5016 5104 5808 6061 6612 6897 7018 7656 8816 9196 10032 10527 12122 13224 13794 14036 15312 18183 18392 21054 24244 26448 27588 28072 36366 36784 42108 48488 55176 56144 66671 72732 84216 96976 110352 133342 145464 168432 200013 266684 290928 400026 533368 800052 1066736 1600104 3200208