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30322403440 = 2457247164581
BaseRepresentation
bin11100001111010110…
…110010100001110000
32220021012221200202021
4130033112302201300
5444100013402230
621532510201224
72122263114400
oct341726624160
986235850667
1030322403440
111195022a55a
125a62ab3214
132b23108274
1416791b0800
15bc70b0c7a
hex70f5b2870

30322403440 has 120 divisors (see below), whose sum is σ = 83755121472. Its totient is φ = 10174993920.

The previous prime is 30322403401. The next prime is 30322403453. The reversal of 30322403440 is 4430422303.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 101950 + ... + 266530.

Almost surely, 230322403440 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 30322403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41877560736).

30322403440 is an abundant number, since it is smaller than the sum of its proper divisors (53432718032).

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

30322403440 is a wasteful number, since it uses less digits than its factorization.

30322403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164655 (or 164642 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 30322403440 its reverse (4430422303), we get a palindrome (34752825743).

The spelling of 30322403440 in words is "thirty billion, three hundred twenty-two million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 49 56 70 80 94 98 112 140 188 196 235 245 280 329 376 392 470 490 560 658 752 784 940 980 1316 1645 1880 1960 2303 2632 3290 3760 3920 4606 5264 6580 9212 11515 13160 18424 23030 26320 36848 46060 92120 164581 184240 329162 658324 822905 1152067 1316648 1645810 2304134 2633296 3291620 4608268 5760335 6583240 7735307 8064469 9216536 11520670 13166480 15470614 16128938 18433072 23041340 30941228 32257876 38676535 40322345 46082680 54147149 61882456 64515752 77353070 80644690 92165360 108294298 123764912 129031504 154706140 161289380 216588596 270735745 309412280 322578760 379030043 433177192 541471490 618824560 645157520 758060086 866354384 1082942980 1516120172 1895150215 2165885960 3032240344 3790300430 4331771920 6064480688 7580600860 15161201720 30322403440