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388164096 = 293343653
BaseRepresentation
bin10111001000101…
…110101000000000
31000001101210001000
4113020232220000
51243332222341
6102303412000
712422224515
oct2710565000
91001353030
10388164096
1118a121481
12a9bb4000
13625591c8
14397a330c
15241268b6
hex1722ea00

388164096 has 160 divisors (see below), whose sum is σ = 1177513920. Its totient is φ = 126185472.

The previous prime is 388164071. The next prime is 388164137. The reversal of 388164096 is 690461883.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 594106 + ... + 594758.

It is an arithmetic number, because the mean of its divisors is an integer number (7359462).

Almost surely, 2388164096 is an apocalyptic number.

388164096 is a gapful number since it is divisible by the number (36) 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 388164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588756960).

388164096 is an abundant number, since it is smaller than the sum of its proper divisors (789349824).

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

388164096 is an equidigital number, since it uses as much as digits as its factorization.

388164096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 388164096 is about 19701.8805193819. The cubic root of 388164096 is about 729.4661111656.

The spelling of 388164096 in words is "three hundred eighty-eight million, one hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 256 258 288 344 384 387 432 512 516 576 653 688 768 774 864 1032 1152 1161 1306 1376 1536 1548 1728 1959 2064 2304 2322 2612 2752 3096 3456 3918 4128 4608 4644 5224 5504 5877 6192 6912 7836 8256 9288 10448 11008 11754 12384 13824 15672 16512 17631 18576 20896 22016 23508 24768 28079 31344 33024 35262 37152 41792 47016 49536 56158 62688 66048 70524 74304 83584 84237 94032 99072 112316 125376 141048 148608 167168 168474 188064 198144 224632 250752 252711 282096 297216 334336 336948 376128 449264 501504 505422 564192 594432 673896 752256 758133 898528 1003008 1010844 1128384 1347792 1504512 1516266 1797056 2021688 2256768 2695584 3009024 3032532 3594112 4043376 4513536 5391168 6065064 7188224 8086752 9027072 10782336 12130128 14376448 16173504 21564672 24260256 32347008 43129344 48520512 64694016 97041024 129388032 194082048 388164096