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334320200 = 23521997907
BaseRepresentation
bin10011111011010…
…101001001001000
3212022002020002122
4103323111021020
51141041221300
653101350412
711166450314
oct2373251110
9768066078
10334320200
11161795795
1293b68408
1354356306
1432588b44
151e53cc85
hex13ed5248

334320200 has 96 divisors (see below), whose sum is σ = 827551200. Its totient is φ = 125245440.

The previous prime is 334320193. The next prime is 334320209. The reversal of 334320200 is 2023433.

It is a super-2 number, since 2×3343202002 = 223539992256080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334320209) 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, 368147 + ... + 369053.

It is an arithmetic number, because the mean of its divisors is an integer number (8620325).

Almost surely, 2334320200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413775600).

334320200 is an abundant number, since it is smaller than the sum of its proper divisors (493231000).

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

334320200 is a wasteful number, since it uses less digits than its factorization.

334320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 334320200 is about 18284.4250661594. The cubic root of 334320200 is about 694.0448553201.

Adding to 334320200 its reverse (2023433), we get a palindrome (336343633).

The spelling of 334320200 in words is "three hundred thirty-four million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 97 100 152 190 194 200 380 388 475 485 760 776 907 950 970 1814 1843 1900 1940 2425 3628 3686 3800 3880 4535 4850 7256 7372 9070 9215 9700 14744 17233 18140 18430 19400 22675 34466 36280 36860 45350 46075 68932 73720 86165 87979 90700 92150 137864 172330 175958 181400 184300 344660 351916 368600 430825 439895 689320 703832 861650 879790 1671601 1723300 1759580 2199475 3343202 3446600 3519160 4398950 6686404 8358005 8797900 13372808 16716010 17595800 33432020 41790025 66864040 83580050 167160100 334320200