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38240640 = 273352213
BaseRepresentation
bin1001000111100…
…0000110000000
32122221211022000
42101320012000
534242200030
63443344000
7643016514
oct221700600
978854260
1038240640
111a649839
1210982000
137bcbac9
145116144
153555860
hex2478180

38240640 has 128 divisors (see below), whose sum is σ = 135496800. Its totient is φ = 10192896.

The previous prime is 38240611. The next prime is 38240663. The reversal of 38240640 is 4604283.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16174 + ... + 18386.

Almost surely, 238240640 is an apocalyptic number.

38240640 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 38240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67748400).

38240640 is an abundant number, since it is smaller than the sum of its proper divisors (97256160).

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

38240640 is a wasteful number, since it uses less digits than its factorization.

38240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 38240640 is about 6183.9016809778. The cubic root of 38240640 is about 336.9057196191.

The spelling of 38240640 in words is "thirty-eight million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2213 2880 3456 4320 4426 5760 6639 8640 8852 11065 13278 17280 17704 19917 22130 26556 33195 35408 39834 44260 53112 59751 66390 70816 79668 88520 99585 106224 119502 132780 141632 159336 177040 199170 212448 239004 265560 283264 298755 318672 354080 398340 424896 478008 531120 597510 637344 708160 796680 849792 956016 1062240 1195020 1274688 1416320 1593360 1912032 2124480 2390040 2549376 3186720 3824064 4248960 4780080 6373440 7648128 9560160 12746880 19120320 38240640