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3818016 = 2535491
BaseRepresentation
bin1110100100001000100000
321011222100000
432210020200
51434134031
6213500000
744311146
oct16441040
97158300
103818016
112178594
121341600
13a38aa7
14715596
155063e6
hex3a4220

3818016 has 72 divisors (see below), whose sum is σ = 11282544. Its totient is φ = 1270080.

The previous prime is 3817999. The next prime is 3818021. The reversal of 3818016 is 6108183.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 7531 + ... + 8021.

It is an arithmetic number, because the mean of its divisors is an integer number (156702).

Almost surely, 23818016 is an apocalyptic number.

3818016 is a gapful number since it is divisible by the number (36) 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 3818016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641272).

3818016 is an abundant number, since it is smaller than the sum of its proper divisors (7464528).

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

3818016 is an equidigital number, since it uses as much as digits as its factorization.

3818016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 3818016 is about 1953.9744112961. The cubic root of 3818016 is about 156.2952986528.

The spelling of 3818016 in words is "three million, eight hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 491 648 864 972 982 1296 1473 1944 1964 2592 2946 3888 3928 4419 5892 7776 7856 8838 11784 13257 15712 17676 23568 26514 35352 39771 47136 53028 70704 79542 106056 119313 141408 159084 212112 238626 318168 424224 477252 636336 954504 1272672 1909008 3818016