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2330341300 = 2252717316317
BaseRepresentation
bin1000101011100110…
…0010111110110100
320000101221121022001
42022321202332310
514233031410200
61023123145044
7111514400650
oct21271427664
96011847261
102330341300
11a96464a01
12550515184
132b1a395a1
141816c9a60
15d98b676a
hex8ae62fb4

2330341300 has 144 divisors (see below), whose sum is σ = 6317595648. Its totient is φ = 727603200.

The previous prime is 2330341291. The next prime is 2330341309. The reversal of 2330341300 is 31430332.

It is an interprime number because it is at equal distance from previous prime (2330341291) and next prime (2330341309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330341309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365742 + ... + 372058.

It is an arithmetic number, because the mean of its divisors is an integer number (43872192).

Almost surely, 22330341300 is an apocalyptic number.

2330341300 is a gapful number since it is divisible by the number (20) 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 2330341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158797824).

2330341300 is an abundant number, since it is smaller than the sum of its proper divisors (3987254348).

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

2330341300 is a wasteful number, since it uses less digits than its factorization.

2330341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 2330341300 is about 48273.6087318941. The cubic root of 2330341300 is about 1325.7852329071.

Adding to 2330341300 its reverse (31430332), we get a palindrome (2361771632).

The spelling of 2330341300 in words is "two billion, three hundred thirty million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 31 34 35 50 62 68 70 85 100 119 124 140 155 170 175 217 238 310 340 350 425 434 476 527 595 620 700 775 850 868 1054 1085 1190 1550 1700 2108 2170 2380 2635 2975 3100 3689 4340 5270 5425 5950 6317 7378 10540 10850 11900 12634 13175 14756 18445 21700 25268 26350 31585 36890 44219 52700 63170 73780 88438 92225 107389 126340 157925 176876 184450 195827 214778 221095 315850 368900 391654 429556 442190 536945 631700 751723 783308 884380 979135 1073890 1105475 1370789 1503446 1958270 2147780 2210950 2684725 2741578 3006892 3329059 3758615 3916540 4421900 4895675 5369450 5483156 6658118 6853945 7517230 9791350 10738900 13316236 13707890 15034460 16645295 18793075 19582700 23303413 27415780 33290590 34269725 37586150 46606826 66581180 68539450 75172300 83226475 93213652 116517065 137078900 166452950 233034130 332905900 466068260 582585325 1165170650 2330341300