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38304630 = 23357131559
BaseRepresentation
bin1001001000011…
…1101101110110
32200002002002000
42102013231312
534301222010
63445000130
7643404210
oct222075566
980062060
1038304630
111a692921
12109b3046
137c21c80
1451315b0
1535697c0
hex2487b76

38304630 has 128 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 8076672.

The previous prime is 38304613. The next prime is 38304649. The reversal of 38304630 is 3640383.

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

It is a junction number, because it is equal to n+sod(n) for n = 38304594 and 38304603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23791 + ... + 25349.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 238304630 is an apocalyptic number.

38304630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38304630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

38304630 is an abundant number, since it is smaller than the sum of its proper divisors (87493770).

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

38304630 is a wasteful number, since it uses less digits than its factorization.

38304630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 38304630 is about 6189.0734363069. The cubic root of 38304630 is about 337.0935353664.

The spelling of 38304630 in words is "thirty-eight million, three hundred four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1559 1638 1755 1890 2457 2730 3118 3510 4095 4677 4914 7795 8190 9354 10913 12285 14031 15590 20267 21826 23385 24570 28062 32739 40534 42093 46770 54565 60801 65478 70155 84186 98217 101335 109130 121602 140310 141869 163695 182403 196434 202670 210465 283738 294651 304005 327390 364806 420930 425607 491085 547209 589302 608010 709345 851214 912015 982170 1094418 1276821 1418690 1473255 1824030 2128035 2553642 2736045 2946510 3830463 4256070 5472090 6384105 7660926 12768210 19152315 38304630