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388172328 = 233313759239
BaseRepresentation
bin10111001000110…
…000101000101000
31000001102012022220
4113020300220220
51243333003303
6102303514040
712422260515
oct2710605050
91001365286
10388172328
1118a127685
12a9bb8920
136255cb8b
14397a630c
1524129053
hex17230a28

388172328 has 128 divisors (see below), whose sum is σ = 1050624000. Its totient is φ = 119266560.

The previous prime is 388172321. The next prime is 388172329. The reversal of 388172328 is 823271883.

It is a self number, because there is not a number n which added to its sum of digits gives 388172328.

It is not an unprimeable number, because it can be changed into a prime (388172321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1624033 + ... + 1624271.

It is an arithmetic number, because the mean of its divisors is an integer number (8208000).

Almost surely, 2388172328 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 388172328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525312000).

388172328 is an abundant number, since it is smaller than the sum of its proper divisors (662451672).

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

388172328 is a wasteful number, since it uses less digits than its factorization.

388172328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 388172328 is about 19702.0894323419. The cubic root of 388172328 is about 729.4712678529.

The spelling of 388172328 in words is "three hundred eighty-eight million, one hundred seventy-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 37 59 62 74 93 111 118 124 148 177 186 222 236 239 248 296 354 372 444 472 478 708 717 744 888 956 1147 1416 1434 1829 1912 2183 2294 2868 3441 3658 4366 4588 5487 5736 6549 6882 7316 7409 8732 8843 9176 10974 13098 13764 14101 14632 14818 17464 17686 21948 22227 26196 26529 27528 28202 29636 35372 42303 43896 44454 52392 53058 56404 59272 67673 70744 84606 88908 106116 112808 135346 169212 177816 203019 212232 270692 274133 338424 406038 437131 521737 541384 548266 812076 822399 874262 1043474 1096532 1311393 1565211 1624152 1644798 1748524 2086948 2193064 2622786 3130422 3289596 3497048 4173896 5245572 6260844 6579192 10491144 12521688 16173847 32347694 48521541 64695388 97043082 129390776 194086164 388172328