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103304016 = 24324011789
BaseRepresentation
bin1100010100001…
…00101101010000
321012101101110200
412022010231100
5202421212031
614130055200
72363032614
oct612045520
9235341420
10103304016
1153348922
122a71a500
131852c64a
14da11344
1591088e6
hex6284b50

103304016 has 60 divisors (see below), whose sum is σ = 289990740. Its totient is φ = 34329600.

The previous prime is 103303957. The next prime is 103304023. The reversal of 103304016 is 610403301.

It can be written as a sum of positive squares in 2 ways, for example, as 100400400 + 2903616 = 10020^2 + 1704^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 103304016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56850 + ... + 58638.

It is an arithmetic number, because the mean of its divisors is an integer number (4833179).

Almost surely, 2103304016 is an apocalyptic number.

103304016 is a gapful number since it is divisible by the number (16) 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 103304016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144995370).

103304016 is an abundant number, since it is smaller than the sum of its proper divisors (186686724).

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

103304016 is a wasteful number, since it uses less digits than its factorization.

103304016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103304016 is about 10163.8583225073. The cubic root of 103304016 is about 469.2155558102.

Adding to 103304016 its reverse (610403301), we get a palindrome (713707317).

The spelling of 103304016 in words is "one hundred three million, three hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 401 802 1203 1604 1789 2406 3208 3578 3609 4812 5367 6416 7156 7218 9624 10734 14312 14436 16101 19248 21468 28624 28872 32202 42936 57744 64404 85872 128808 257616 717389 1434778 2152167 2869556 4304334 5739112 6456501 8608668 11478224 12913002 17217336 25826004 34434672 51652008 103304016