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41034300 = 223521923313
BaseRepresentation
bin1001110010001…
…0001000111100
32212012202110220
42130202020330
541001044200
64023301340
71005533346
oct234421074
985182426
1041034300
112118774a
12118aa850
138669568
145642296
1539084a0
hex272223c

41034300 has 144 divisors (see below), whose sum is σ = 130824960. Its totient is φ = 9884160.

The previous prime is 41034283. The next prime is 41034313. The reversal of 41034300 is 343014.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41034300.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 130944 + ... + 131256.

Almost surely, 241034300 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 41034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65412480).

41034300 is an abundant number, since it is smaller than the sum of its proper divisors (89790660).

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

41034300 is a wasteful number, since it uses less digits than its factorization.

41034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 41034300 is about 6405.8020575101. The cubic root of 41034300 is about 344.9178548388.

Adding to 41034300 its reverse (343014), we get a palindrome (41377314).

The spelling of 41034300 in words is "forty-one million, thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 25 30 38 46 50 57 60 69 75 76 92 95 100 114 115 138 150 190 228 230 276 285 300 313 345 380 437 460 475 570 575 626 690 874 939 950 1140 1150 1252 1311 1380 1425 1565 1725 1748 1878 1900 2185 2300 2622 2850 3130 3450 3756 4370 4695 5244 5700 5947 6260 6555 6900 7199 7825 8740 9390 10925 11894 13110 14398 15650 17841 18780 21597 21850 23475 23788 26220 28796 29735 31300 32775 35682 35995 43194 43700 46950 59470 65550 71364 71990 86388 89205 93900 107985 118940 131100 136781 143980 148675 178410 179975 215970 273562 297350 356820 359950 410343 431940 446025 539925 547124 594700 683905 719900 820686 892050 1079850 1367810 1641372 1784100 2051715 2159700 2735620 3419525 4103430 6839050 8206860 10258575 13678100 20517150 41034300