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3421345140 = 22325179106187
BaseRepresentation
bin1100101111101101…
…1001010101110100
322211102212100012200
43023323121111310
524001331021030
61323255144500
7150532645113
oct31373312564
98742770180
103421345140
1114a6295274
127b5975130
13426a8a5a5
14246565c7a
15150571d60
hexcbed9574

3421345140 has 72 divisors (see below), whose sum is σ = 10436156640. Its totient is φ = 907253184.

The previous prime is 3421345127. The next prime is 3421345141. The reversal of 3421345140 is 415431243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421345141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20874 + ... + 85313.

It is an arithmetic number, because the mean of its divisors is an integer number (144946620).

Almost surely, 23421345140 is an apocalyptic number.

3421345140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3421345140 is an abundant number, since it is smaller than the sum of its proper divisors (7014811500).

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

3421345140 is a wasteful number, since it uses less digits than its factorization.

3421345140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106381 (or 106376 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3421345140 is about 58492.2656425617. The cubic root of 3421345140 is about 1506.8347567662.

Adding to 3421345140 its reverse (415431243), we get a palindrome (3836776383).

The spelling of 3421345140 in words is "three billion, four hundred twenty-one million, three hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 537 716 895 1074 1611 1790 2148 2685 3222 3580 5370 6444 8055 10740 16110 32220 106187 212374 318561 424748 530935 637122 955683 1061870 1274244 1592805 1911366 2123740 3185610 3822732 4778415 6371220 9556830 19007473 19113660 38014946 57022419 76029892 95037365 114044838 171067257 190074730 228089676 285112095 342134514 380149460 570224190 684269028 855336285 1140448380 1710672570 3421345140