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2442435240 = 233573538237
BaseRepresentation
bin1001000110010100…
…1001101010101000
320022012212120021110
42101211021222220
520000230411430
61042205510320
7114345233310
oct22145115250
96265776243
102442435240
111043766823
12581b723a0
132cc025a6b
14192548440
15e46597b0
hex91949aa8

2442435240 has 128 divisors (see below), whose sum is σ = 8398805760. Its totient is φ = 556621824.

The previous prime is 2442435239. The next prime is 2442435257. The reversal of 2442435240 is 425342442.

It is a Cunningham number, because it is equal to 494212-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2442435198 and 2442435207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292402 + ... + 300638.

It is an arithmetic number, because the mean of its divisors is an integer number (65615670).

Almost surely, 22442435240 is an apocalyptic number.

2442435240 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 2442435240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199402880).

2442435240 is an abundant number, since it is smaller than the sum of its proper divisors (5956370520).

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

2442435240 is a wasteful number, since it uses less digits than its factorization.

2442435240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611 (or 8607 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 2442435240 is about 49420.9999898828. Note that the first 4 decimals coincide. The cubic root of 2442435240 is about 1346.7108294615.

Adding to 2442435240 its reverse (425342442), we get a palindrome (2867777682).

The spelling of 2442435240 in words is "two billion, four hundred forty-two million, four hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 353 420 706 840 1059 1412 1765 2118 2471 2824 3530 4236 4942 5295 7060 7413 8237 8472 9884 10590 12355 14120 14826 16474 19768 21180 24710 24711 29652 32948 37065 41185 42360 49420 49422 57659 59304 65896 74130 82370 98840 98844 115318 123555 148260 164740 172977 197688 230636 247110 288295 296520 329480 345954 461272 494220 576590 691908 864885 988440 1153180 1383816 1729770 2306360 2907661 3459540 5815322 6919080 8722983 11630644 14538305 17445966 20353627 23261288 29076610 34891932 40707254 43614915 58153220 61060881 69783864 81414508 87229830 101768135 116306440 122121762 162829016 174459660 203536270 244243524 305304405 348919320 407072540 488487048 610608810 814145080 1221217620 2442435240