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1714944 = 28371129
BaseRepresentation
bin110100010101100000000
310020010110110
412202230000
5414334234
6100431320
720401560
oct6425400
93203413
101714944
11a71510
126a8540
1348077a
14328da0
1523d1e9
hex1a2b00

1714944 has 144 divisors (see below), whose sum is σ = 5886720. Its totient is φ = 430080.

The previous prime is 1714939. The next prime is 1714957. The reversal of 1714944 is 4494171.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59122 + ... + 59150.

It is an arithmetic number, because the mean of its divisors is an integer number (40880).

21714944 is an apocalyptic number.

1714944 is a gapful number since it is divisible by the number (14) 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 1714944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943360).

1714944 is an abundant number, since it is smaller than the sum of its proper divisors (4171776).

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

1714944 is a wasteful number, since it uses less digits than its factorization.

1714944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 1714944 is about 1309.5587042970. The cubic root of 1714944 is about 119.6970134144.

It can be divided in two parts, 171 and 4944, that added together give a palindrome (5115).

The spelling of 1714944 in words is "one million, seven hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 32 33 42 44 48 56 58 64 66 77 84 87 88 96 112 116 128 132 154 168 174 176 192 203 224 231 232 256 264 308 319 336 348 352 384 406 448 462 464 528 609 616 638 672 696 704 768 812 896 924 928 957 1056 1218 1232 1276 1344 1392 1408 1624 1792 1848 1856 1914 2112 2233 2436 2464 2552 2688 2784 2816 3248 3696 3712 3828 4224 4466 4872 4928 5104 5376 5568 6496 6699 7392 7424 7656 8448 8932 9744 9856 10208 11136 12992 13398 14784 15312 17864 19488 19712 20416 22272 25984 26796 29568 30624 35728 38976 40832 51968 53592 59136 61248 71456 77952 81664 107184 122496 142912 155904 214368 244992 285824 428736 571648 857472 1714944