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320242340 = 2251119233331
BaseRepresentation
bin10011000101101…
…000001010100100
3211022120222220102
4103011220022210
51123440223330
651435523232
710636005065
oct2305501244
9738528812
10320242340
1115484a8a0
128b2b9518
1351467612
143076256c
151d1ab945
hex131682a4

320242340 has 96 divisors (see below), whose sum is σ = 806077440. Its totient is φ = 105494400.

The previous prime is 320242337. The next prime is 320242343. The reversal of 320242340 is 43242023.

It is an interprime number because it is at equal distance from previous prime (320242337) and next prime (320242343).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (320242343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94475 + ... + 97805.

It is an arithmetic number, because the mean of its divisors is an integer number (8396640).

Almost surely, 2320242340 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 320242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403038720).

320242340 is an abundant number, since it is smaller than the sum of its proper divisors (485835100).

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

320242340 is a wasteful number, since it uses less digits than its factorization.

320242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 320242340 is about 17895.3161469699. The cubic root of 320242340 is about 684.1629999231.

Adding to 320242340 its reverse (43242023), we get a palindrome (363484363).

The spelling of 320242340 in words is "three hundred twenty million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 190 209 220 230 253 380 418 437 460 506 836 874 1012 1045 1265 1748 2090 2185 2530 3331 4180 4370 4807 5060 6662 8740 9614 13324 16655 19228 24035 33310 36641 48070 63289 66620 73282 76613 96140 126578 146564 153226 183205 253156 306452 316445 366410 383065 632890 696179 732820 766130 842743 1265780 1392358 1455647 1532260 1685486 2784716 2911294 3370972 3480895 4213715 5822588 6961790 7278235 8427430 13923580 14556470 16012117 16854860 29112940 32024234 64048468 80060585 160121170 320242340