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16378038 = 2341719313
BaseRepresentation
bin111110011110…
…100010110110
31010211002110000
4332132202312
513143044123
61343012130
7256132245
oct76364266
933732400
1016378038
119277076
12559a046
133515961
14226495c
151687b43
hexf9e8b6

16378038 has 80 divisors (see below), whose sum is σ = 41033520. Its totient is φ = 4852224.

The previous prime is 16378009. The next prime is 16378039. The reversal of 16378038 is 83087361.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16377993 and 16378011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16378039) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52170 + ... + 52482.

It is an arithmetic number, because the mean of its divisors is an integer number (512919).

Almost surely, 216378038 is an apocalyptic number.

16378038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16378038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20516760).

16378038 is an abundant number, since it is smaller than the sum of its proper divisors (24655482).

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

16378038 is a wasteful number, since it uses less digits than its factorization.

16378038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 16378038 is about 4046.9788731843. The cubic root of 16378038 is about 253.9533570087.

The spelling of 16378038 in words is "sixteen million, three hundred seventy-eight thousand, thirty-eight".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 306 313 323 342 459 513 626 646 918 939 969 1026 1377 1539 1878 1938 2754 2817 2907 3078 5321 5634 5814 5947 8451 8721 10642 11894 15963 16902 17442 17841 25353 26163 31926 35682 47889 50706 52326 53523 95778 101099 107046 143667 160569 202198 287334 303297 321138 431001 481707 606594 862002 909891 963414 1819782 2729673 5459346 8189019 16378038