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103344528 = 243736277
BaseRepresentation
bin1100010100011…
…10100110010000
321012110110001010
412022032212100
5202424011103
614131010520
72363262000
oct612164620
9235413033
10103344528
1153376301
122a739a40
1318544c11
14da22000
159115903
hex628e990

103344528 has 80 divisors (see below), whose sum is σ = 311388800. Its totient is φ = 29522304.

The previous prime is 103344511. The next prime is 103344529. The reversal of 103344528 is 825443301.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 103344495 and 103344504.

It is not an unprimeable number, because it can be changed into a prime (103344529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13326 + ... + 19602.

It is an arithmetic number, because the mean of its divisors is an integer number (3892360).

Almost surely, 2103344528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103344528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155694400).

103344528 is an abundant number, since it is smaller than the sum of its proper divisors (208044272).

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

103344528 is an equidigital number, since it uses as much as digits as its factorization.

103344528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 103344528 is about 10165.8510711106. The cubic root of 103344528 is about 469.2768841013.

Adding to 103344528 its reverse (825443301), we get a palindrome (928787829).

The spelling of 103344528 in words is "one hundred three million, three hundred forty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 5488 6277 8232 12554 16464 18831 25108 37662 43939 50216 75324 87878 100432 131817 150648 175756 263634 301296 307573 351512 527268 615146 703024 922719 1054536 1230292 1845438 2109072 2153011 2460584 3690876 4306022 4921168 6459033 7381752 8612044 12918066 14763504 17224088 25836132 34448176 51672264 103344528