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388370052 = 223471091571
BaseRepresentation
bin10111001001100…
…000111010000100
31000001210020120000
4113021200322010
51243410320202
6102312041300
712424043130
oct2711407204
91001706500
10388370052
1118a252194
12aa093230
13625cbb85
14398183c0
152416791c
hex17260e84

388370052 has 120 divisors (see below), whose sum is σ = 1171705920. Its totient is φ = 109874880.

The previous prime is 388370027. The next prime is 388370057. The reversal of 388370052 is 250073883.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 388369989 and 388370016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388370057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246427 + ... + 247997.

It is an arithmetic number, because the mean of its divisors is an integer number (9764216).

Almost surely, 2388370052 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 388370052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585852960).

388370052 is an abundant number, since it is smaller than the sum of its proper divisors (783335868).

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

388370052 is a wasteful number, since it uses less digits than its factorization.

388370052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 388370052 is about 19707.1066369470. The cubic root of 388370052 is about 729.5951041699.

The spelling of 388370052 in words is "three hundred eighty-eight million, three hundred seventy thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 109 126 162 189 218 252 324 327 378 436 567 654 756 763 981 1134 1308 1526 1571 1962 2268 2289 2943 3052 3142 3924 4578 4713 5886 6284 6867 8829 9156 9426 10997 11772 13734 14139 17658 18852 20601 21994 27468 28278 32991 35316 41202 42417 43988 56556 61803 65982 82404 84834 98973 123606 127251 131964 169668 171239 197946 247212 254502 296919 342478 395892 509004 513717 593838 684956 890757 1027434 1187676 1198673 1541151 1781514 2054868 2397346 3082302 3563028 3596019 4623453 4794692 6164604 7192038 9246906 10788057 13870359 14384076 18493812 21576114 27740718 32364171 43152228 55481436 64728342 97092513 129456684 194185026 388370052