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3043122040 = 2357431971283
BaseRepresentation
bin1011010101100010…
…0101101101111000
321212002011121122201
42311120211231320
522213014401130
61221544355544
7135261052630
oct26530455570
97762147581
103043122040
1113218436a2
1270b175bb4
1339660213a
1420c22d6c0
1512c260bca
hexb5625b78

3043122040 has 128 divisors (see below), whose sum is σ = 8054069760. Its totient is φ = 1013128704.

The previous prime is 3043122029. The next prime is 3043122053. The reversal of 3043122040 is 402213403.

It is a super-6 number, since 6×30431220406 (a number of 58 digits) contains 666666 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 3043121999 and 3043122017.

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 31 ways as a sum of consecutive naturals, for example, 2371239 + ... + 2372521.

It is an arithmetic number, because the mean of its divisors is an integer number (62922420).

Almost surely, 23043122040 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 3043122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027034880).

3043122040 is an abundant number, since it is smaller than the sum of its proper divisors (5010947720).

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

3043122040 is a wasteful number, since it uses less digits than its factorization.

3043122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3043122040 is about 55164.4998164580. The cubic root of 3043122040 is about 1449.1270274455.

Adding to 3043122040 its reverse (402213403), we get a palindrome (3445335443).

The spelling of 3043122040 in words is "three billion, forty-three million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 197 215 280 301 344 394 430 602 788 860 985 1204 1283 1379 1505 1576 1720 1970 2408 2566 2758 3010 3940 5132 5516 6020 6415 6895 7880 8471 8981 10264 11032 12040 12830 13790 16942 17962 25660 27580 33884 35924 42355 44905 51320 55160 55169 59297 67768 71848 84710 89810 110338 118594 169420 179620 220676 237188 252751 275845 296485 338840 359240 386183 441352 474376 505502 551690 592970 772366 1011004 1103380 1185940 1263755 1544732 1769257 1930915 2022008 2206760 2371880 2527510 3089464 3538514 3861830 5055020 7077028 7723660 8846285 10110040 10868293 14154056 15447320 17692570 21736586 35385140 43473172 54341465 70770280 76078051 86946344 108682930 152156102 217365860 304312204 380390255 434731720 608624408 760780510 1521561020 3043122040