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388680 = 23354179
BaseRepresentation
bin1011110111001001000
3201202011120
41132321020
544414210
612155240
73206115
oct1367110
9652146
10388680
11246026
12168b20
13107bb6
14a190c
157a270
hex5ee48

388680 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 99840.

The previous prime is 388673. The next prime is 388691. The reversal of 388680 is 86883.

388680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam 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, 4881 + ... + 4959.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2388680 is an apocalyptic number.

388680 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 388680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

388680 is an abundant number, since it is smaller than the sum of its proper divisors (820920).

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

388680 is a wasteful number, since it uses less digits than its factorization.

388680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 388680 is about 623.4420582540. The cubic root of 388680 is about 72.9789142829.

The spelling of 388680 in words is "three hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 79 82 120 123 158 164 205 237 246 316 328 395 410 474 492 615 632 790 820 948 984 1185 1230 1580 1640 1896 2370 2460 3160 3239 4740 4920 6478 9480 9717 12956 16195 19434 25912 32390 38868 48585 64780 77736 97170 129560 194340 388680