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20770344 = 2334719241
BaseRepresentation
bin100111100111…
…0111000101000
31110002020120000
41033032320220
520304122334
62021103000
7341354640
oct117167050
943066500
1020770344
11107a7081
126b57a60
1343c2c5a
142a89520
151c54299
hex13cee28

20770344 has 160 divisors (see below), whose sum is σ = 70276800. Its totient is φ = 5598720.

The previous prime is 20770339. The next prime is 20770349. The reversal of 20770344 is 44307702.

It is an interprime number because it is at equal distance from previous prime (20770339) and next prime (20770349).

It is a super-4 number, since 4×207703444 (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20770349) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 86064 + ... + 86304.

It is an arithmetic number, because the mean of its divisors is an integer number (439230).

Almost surely, 220770344 is an apocalyptic number.

20770344 is a gapful number since it is divisible by the number (24) 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 20770344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35138400).

20770344 is an abundant number, since it is smaller than the sum of its proper divisors (49506456).

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

20770344 is a wasteful number, since it uses less digits than its factorization.

20770344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20770344 is about 4557.4492866076. The cubic root of 20770344 is about 274.8830091899.

The spelling of 20770344 in words is "twenty million, seven hundred seventy thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 241 252 266 324 342 378 399 456 482 504 513 532 567 648 684 723 756 798 964 1026 1064 1134 1197 1368 1446 1512 1539 1596 1687 1928 2052 2169 2268 2394 2892 3078 3192 3374 3591 4104 4338 4536 4579 4788 5061 5784 6156 6507 6748 7182 8676 9158 9576 10122 10773 12312 13014 13496 13737 14364 15183 17352 18316 19521 20244 21546 26028 27474 28728 30366 32053 36632 39042 40488 41211 43092 45549 52056 54948 60732 64106 78084 82422 86184 91098 96159 109896 121464 123633 128212 136647 156168 164844 182196 192318 247266 256424 273294 288477 329688 364392 370899 384636 494532 546588 576954 741798 769272 865431 989064 1093176 1153908 1483596 1730862 2307816 2596293 2967192 3461724 5192586 6923448 10385172 20770344