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3403442020 = 22511223471301
BaseRepresentation
bin1100101011011100…
…0110011101100100
322210012011202202011
43022313012131210
523432240121040
61321415324004
7150224531326
oct31267063544
98705152664
103403442020
111497177400
127ab980604
1342315c724
14244025616
1514dbd73ea
hexcadc6764

3403442020 has 144 divisors (see below), whose sum is σ = 8378463744. Its totient is φ = 1157728000.

The previous prime is 3403442017. The next prime is 3403442083. The reversal of 3403442020 is 202443043.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3403441982 and 3403442000.

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 47 ways as a sum of consecutive naturals, for example, 2615370 + ... + 2616670.

It is an arithmetic number, because the mean of its divisors is an integer number (58183776).

Almost surely, 23403442020 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 3403442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189231872).

3403442020 is an abundant number, since it is smaller than the sum of its proper divisors (4975021724).

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

3403442020 is a wasteful number, since it uses less digits than its factorization.

3403442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3403442020 is about 58339.0265602710. The cubic root of 3403442020 is about 1504.2018512329.

Adding to 3403442020 its reverse (202443043), we get a palindrome (3605885063).

The spelling of 3403442020 in words is "three billion, four hundred three million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 47 55 92 94 110 115 121 188 220 230 235 242 253 460 470 484 506 517 605 940 1012 1034 1081 1210 1265 1301 2068 2162 2420 2530 2585 2602 2783 4324 5060 5170 5204 5405 5566 5687 6505 10340 10810 11132 11374 11891 13010 13915 14311 21620 22748 23782 26020 27830 28435 28622 29923 47564 55660 56870 57244 59455 59846 61147 71555 113740 118910 119692 122294 130801 143110 149615 157421 237820 244588 261602 286220 299230 305735 314842 329153 523204 598460 611470 629684 654005 658306 672617 787105 1222940 1308010 1316612 1345234 1406381 1574210 1645765 2616020 2690468 2812762 3148420 3291530 3363085 3620683 5625524 6583060 6726170 7031905 7241366 7398787 13452340 14063810 14482732 14797574 15470191 18103415 28127620 29595148 30940382 36206830 36993935 61880764 72413660 73987870 77350955 147975740 154701910 170172101 309403820 340344202 680688404 850860505 1701721010 3403442020