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388332 = 223272367
BaseRepresentation
bin1011110110011101100
3201201200200
41132303230
544411312
612153500
73205110
oct1366354
9651620
10388332
1124583a
12168890
131079a9
14a1740
157a0dc
hex5ecec

388332 has 72 divisors (see below), whose sum is σ = 1188096. Its totient is φ = 104544.

The previous prime is 388319. The next prime is 388351. The reversal of 388332 is 233883.

It is a junction number, because it is equal to n+sod(n) for n = 388296 and 388305.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 388332.

It is an unprimeable number.

388332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5763 + ... + 5829.

2388332 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 388332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594048).

388332 is an abundant number, since it is smaller than the sum of its proper divisors (799764).

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

388332 is a wasteful number, since it uses less digits than its factorization.

388332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 102 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 388332 is about 623.1629000510. The cubic root of 388332 is about 72.9571275127.

Subtracting from 388332 its reverse (233883), we obtain a square (154449 = 3932).

The spelling of 388332 in words is "three hundred eighty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 67 69 84 92 126 134 138 161 201 207 252 268 276 322 402 414 469 483 603 644 804 828 938 966 1206 1407 1449 1541 1876 1932 2412 2814 2898 3082 4221 4623 5628 5796 6164 8442 9246 10787 13869 16884 18492 21574 27738 32361 43148 55476 64722 97083 129444 194166 388332