Search a number
-
+
388124080 = 24523375701
BaseRepresentation
bin10111001000100…
…100110110110000
31000001022202010221
4113020210312300
51243324432310
6102302502424
712422000041
oct2710446660
91001282127
10388124080
1118a0a4403
12a9b94a14
1362543c26
14397928c8
1524119ada
hex17224db0

388124080 has 80 divisors (see below), whose sum is σ = 967241664. Its totient is φ = 144460800.

The previous prime is 388124071. The next prime is 388124101. The reversal of 388124080 is 80421883.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65230 + ... + 70930.

Almost surely, 2388124080 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 388124080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483620832).

388124080 is an abundant number, since it is smaller than the sum of its proper divisors (579117584).

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

388124080 is a wasteful number, since it uses less digits than its factorization.

388124080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 388124080 is about 19700.8649556308. The cubic root of 388124080 is about 729.4410433148.

The spelling of 388124080 in words is "three hundred eighty-eight million, one hundred twenty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 37 40 46 74 80 92 115 148 184 185 230 296 368 370 460 592 740 851 920 1480 1702 1840 2960 3404 4255 5701 6808 8510 11402 13616 17020 22804 28505 34040 45608 57010 68080 91216 114020 131123 210937 228040 262246 421874 456080 524492 655615 843748 1048984 1054685 1311230 1687496 2097968 2109370 2622460 3374992 4218740 4851551 5244920 8437480 9703102 10489840 16874960 19406204 24257755 38812408 48515510 77624816 97031020 194062040 388124080