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3200230320 = 243572816779
BaseRepresentation
bin1011111010111111…
…1010001110110000
322021000210112200220
42332233322032300
523023224332240
61245320013040
7142206336360
oct27657721660
98230715626
103200230320
1113a24a0451
12753901180
133c001c611
142250489a0
1513ae465d0
hexbebfa3b0

3200230320 has 160 divisors (see below), whose sum is σ = 11379985920. Its totient is φ = 728770560.

The previous prime is 3200230273. The next prime is 3200230367. The reversal of 3200230320 is 230320023.

It is an interprime number because it is at equal distance from previous prime (3200230273) and next prime (3200230367).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3200230320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468691 + ... + 475469.

It is an arithmetic number, because the mean of its divisors is an integer number (71124912).

Almost surely, 23200230320 is an apocalyptic number.

3200230320 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 3200230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689992960).

3200230320 is an abundant number, since it is smaller than the sum of its proper divisors (8179755600).

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

3200230320 is a wasteful number, since it uses less digits than its factorization.

3200230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7083 (or 7077 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3200230320 is about 56570.5782187172. The cubic root of 3200230320 is about 1473.6479530303.

Adding to 3200230320 its reverse (230320023), we get a palindrome (3430550343).

The spelling of 3200230320 in words is "three billion, two hundred million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 281 336 420 560 562 840 843 1124 1405 1680 1686 1967 2248 2810 3372 3934 4215 4496 5620 5901 6744 6779 7868 8430 9835 11240 11802 13488 13558 15736 16860 19670 20337 22480 23604 27116 29505 31472 33720 33895 39340 40674 47208 47453 54232 59010 67440 67790 78680 81348 94416 94906 101685 108464 118020 135580 142359 157360 162696 189812 203370 236040 237265 271160 284718 325392 379624 406740 472080 474530 542320 569436 711795 759248 813480 949060 1138872 1423590 1626960 1898120 1904899 2277744 2847180 3796240 3809798 5694360 5714697 7619596 9524495 11388720 11429394 13334293 15239192 19048990 22858788 26668586 28573485 30478384 38097980 40002879 45717576 53337172 57146970 66671465 76195960 80005758 91435152 106674344 114293940 133342930 152391920 160011516 200014395 213348688 228587880 266685860 320023032 400028790 457175760 533371720 640046064 800057580 1066743440 1600115160 3200230320