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103442430 = 23572135413
BaseRepresentation
bin1100010101001…
…10011111111110
321012122102100010
412022212133332
5202440124210
614133044050
72364150300
oct612463776
9235572303
10103442430
1153432913
122a786626
131857a650
14da49970
159134920
hex62a67fe

103442430 has 96 divisors (see below), whose sum is σ = 311066784. Its totient is φ = 21821184.

The previous prime is 103442429. The next prime is 103442461. The reversal of 103442430 is 34244301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103442397 and 103442406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16404 + ... + 21816.

It is an arithmetic number, because the mean of its divisors is an integer number (3240279).

Almost surely, 2103442430 is an apocalyptic number.

103442430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103442430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155533392).

103442430 is an abundant number, since it is smaller than the sum of its proper divisors (207624354).

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

103442430 is a wasteful number, since it uses less digits than its factorization.

103442430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 103442430 is about 10170.6651699877. The cubic root of 103442430 is about 469.4250249726.

Adding to 103442430 its reverse (34244301), we get a palindrome (137686731).

The spelling of 103442430 in words is "one hundred three million, four hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1274 1365 1470 1911 2730 3185 3822 5413 6370 9555 10826 16239 19110 27065 32478 37891 54130 70369 75782 81195 113673 140738 162390 189455 211107 227346 265237 351845 378910 422214 492583 530474 568365 703690 795711 985166 1055535 1136730 1326185 1477749 1591422 2111070 2462915 2652370 2955498 3448081 3978555 4925830 6896162 7388745 7957110 10344243 14777490 17240405 20688486 34480810 51721215 103442430