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16384004 = 227131923103
BaseRepresentation
bin111110100000…
…000000000100
31010211101121222
4332200000010
513143242004
61343055512
7256155530
oct76400004
933741558
1016384004
1192805aa
1255a1598
1335185a0
142266bc0
1516897be
hexfa0004

16384004 has 96 divisors (see below), whose sum is σ = 39137280. Its totient is φ = 5816448.

The previous prime is 16384003. The next prime is 16384037. The reversal of 16384004 is 40048361.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (16384001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 159017 + ... + 159119.

It is an arithmetic number, because the mean of its divisors is an integer number (407680).

Almost surely, 216384004 is an apocalyptic number.

16384004 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 16384004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19568640).

16384004 is an abundant number, since it is smaller than the sum of its proper divisors (22753276).

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

16384004 is a wasteful number, since it uses less digits than its factorization.

16384004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 16384004 is about 4047.7158991214. The cubic root of 16384004 is about 253.9841889842.

It can be divided in two parts, 1638400 and 4, that multiplied together give a square (6553600 = 25602).

The spelling of 16384004 in words is "sixteen million, three hundred eighty-four thousand, four".

Divisors: 1 2 4 7 13 14 19 23 26 28 38 46 52 76 91 92 103 133 161 182 206 247 266 299 322 364 412 437 494 532 598 644 721 874 988 1196 1339 1442 1729 1748 1957 2093 2369 2678 2884 3059 3458 3914 4186 4738 5356 5681 6118 6916 7828 8372 9373 9476 11362 12236 13699 16583 18746 22724 25441 27398 30797 33166 37492 39767 45011 50882 54796 61594 66332 79534 90022 101764 123188 159068 178087 180044 215579 315077 356174 431158 585143 630154 712348 862316 1170286 1260308 2340572 4096001 8192002 16384004