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38440000 = 2654312
BaseRepresentation
bin1001001010100…
…0110001000000
32200022221202201
42102220301000
534320040000
63451522544
7644506654
oct222506100
980287681
1038440000
111a7755a5
1210a59454
137c6b781
145168a64
15359496a
hex24a8c40

38440000 has 105 divisors (see below), whose sum is σ = 98492691. Its totient is φ = 14880000.

The previous prime is 38439997. The next prime is 38440013. The reversal of 38440000 is 4483.

The square root of 38440000 is 6200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3013696 + 35426304 = 1736^2 + 5952^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38440000.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1239985 + ... + 1240015.

Almost surely, 238440000 is an apocalyptic number.

38440000 is the 6200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38440000

38440000 is an abundant number, since it is smaller than the sum of its proper divisors (60052691).

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

38440000 is an frugal number, since it uses more digits than its factorization.

38440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The cubic root of 38440000 is about 337.4901688952.

Adding to 38440000 its reverse (4483), we get a palindrome (38444483).

The spelling of 38440000 in words is "thirty-eight million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 200 248 250 310 320 400 496 500 620 625 775 800 961 992 1000 1240 1250 1550 1600 1922 1984 2000 2480 2500 3100 3844 3875 4000 4805 4960 5000 6200 7688 7750 8000 9610 9920 10000 12400 15376 15500 19220 19375 20000 24025 24800 30752 31000 38440 38750 40000 48050 49600 61504 62000 76880 77500 96100 120125 124000 153760 155000 192200 240250 248000 307520 310000 384400 480500 600625 620000 768800 961000 1201250 1240000 1537600 1922000 2402500 3844000 4805000 7688000 9610000 19220000 38440000