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2342341320 = 2335115873023
BaseRepresentation
bin1000101110011101…
…0100101011001000
320001020112021020020
42023213110223020
514244114410240
61024232300440
7112021400304
oct21347245310
96036467206
102342341320
11aa2210780
12554541720
132b437b5a7
14183130d04
15da9870d0
hex8b9d4ac8

2342341320 has 128 divisors (see below), whose sum is σ = 7681443840. Its totient is φ = 566685440.

The previous prime is 2342341301. The next prime is 2342341343. The reversal of 2342341320 is 231432432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773329 + ... + 776351.

It is an arithmetic number, because the mean of its divisors is an integer number (60011280).

Almost surely, 22342341320 is an apocalyptic number.

2342341320 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 2342341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840721920).

2342341320 is an abundant number, since it is smaller than the sum of its proper divisors (5339102520).

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

2342341320 is a wasteful number, since it uses less digits than its factorization.

2342341320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2342341320 is about 48397.7408563664. The cubic root of 2342341320 is about 1328.0570344329.

Adding to 2342341320 its reverse (231432432), we get a palindrome (2573773752).

The spelling of 2342341320 in words is "two billion, three hundred forty-two million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 587 660 1174 1320 1761 2348 2935 3023 3522 4696 5870 6046 6457 7044 8805 9069 11740 12092 12914 14088 15115 17610 18138 19371 23480 24184 25828 30230 32285 33253 35220 36276 38742 45345 51656 60460 64570 66506 70440 72552 77484 90690 96855 99759 120920 129140 133012 154968 166265 181380 193710 199518 258280 266024 332530 362760 387420 399036 498795 665060 774840 798072 997590 1330120 1774501 1995180 3549002 3990360 5323503 7098004 8872505 10647006 14196008 17745010 19519511 21294012 26617515 35490020 39039022 42588024 53235030 58558533 70980040 78078044 97597555 106470060 117117066 156156088 195195110 212940120 234234132 292792665 390390220 468468264 585585330 780780440 1171170660 2342341320