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2321444034 = 2327134633061
BaseRepresentation
bin1000101001011110…
…0110110011000010
312222210012120112200
42022113212303002
514223242202114
61022204334030
7111345643260
oct21227466302
95883176480
102321444034
11a91438298
12549544316
132acc42930
14180451430
15d8c0a409
hex8a5e6cc2

2321444034 has 96 divisors (see below), whose sum is σ = 6205914624. Its totient is φ = 610727040.

The previous prime is 2321444029. The next prime is 2321444051. The reversal of 2321444034 is 4304441232.

It is a happy number.

2321444034 is a `hidden beast` number, since 2 + 3 + 214 + 440 + 3 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2321443989 and 2321444007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756864 + ... + 759924.

It is an arithmetic number, because the mean of its divisors is an integer number (64644944).

Almost surely, 22321444034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321444034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102957312).

2321444034 is an abundant number, since it is smaller than the sum of its proper divisors (3884470590).

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

2321444034 is a wasteful number, since it uses less digits than its factorization.

2321444034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2321444034 is about 48181.3660453914. The cubic root of 2321444034 is about 1324.0957939622.

Adding to 2321444034 its reverse (4304441232), we get a palindrome (6625885266).

The spelling of 2321444034 in words is "two billion, three hundred twenty-one million, four hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 463 546 819 926 1389 1638 2778 3061 3241 4167 6019 6122 6482 8334 9183 9723 12038 18057 18366 19446 21427 27549 29169 36114 39793 42133 42854 54171 55098 58338 64281 79586 84266 108342 119379 126399 128562 192843 238758 252798 278551 358137 379197 385686 557102 716274 758394 835653 1417243 1671306 2506959 2834486 4251729 5013918 8503458 9920701 12755187 18424159 19841402 25510374 29762103 36848318 55272477 59524206 89286309 110544954 128969113 165817431 178572618 257938226 331634862 386907339 773814678 1160722017 2321444034