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38189340 = 22335710103
BaseRepresentation
bin1001000110101…
…1100100011100
32122212012221000
42101223210130
534234024330
63442310300
7642414120
oct221534434
978765830
1038189340
111a614242
1210958390
137bb1657
145101580
153545560
hex246b91c

38189340 has 96 divisors (see below), whose sum is σ = 135797760. Its totient is φ = 8728128.

The previous prime is 38189329. The next prime is 38189341. The reversal of 38189340 is 4398183.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38189295 and 38189304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38189341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1272 + ... + 8831.

It is an arithmetic number, because the mean of its divisors is an integer number (1414560).

Almost surely, 238189340 is an apocalyptic number.

38189340 is a gapful number since it is divisible by the number (30) 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 38189340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67898880).

38189340 is an abundant number, since it is smaller than the sum of its proper divisors (97608420).

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

38189340 is a wasteful number, since it uses less digits than its factorization.

38189340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 10120 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38189340 is about 6179.7524222253. The cubic root of 38189340 is about 336.7549986609.

The spelling of 38189340 in words is "thirty-eight million, one hundred eighty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 10103 20206 30309 40412 50515 60618 70721 90927 101030 121236 141442 151545 181854 202060 212163 272781 282884 303090 353605 363708 424326 454635 545562 606180 636489 707210 848652 909270 1060815 1091124 1272978 1363905 1414420 1818540 1909467 2121630 2545956 2727810 3182445 3818934 4243260 5455620 6364890 7637868 9547335 12729780 19094670 38189340