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1385328 = 243721931
BaseRepresentation
bin101010010001101110000
32121101022110
411102031300
5323312303
645405320
714526600
oct5221560
92541273
101385328
118668aa
12569840
13396729
14280c00
151c5703
hex152370

1385328 has 120 divisors (see below), whose sum is σ = 4523520. Its totient is φ = 362880.

The previous prime is 1385327. The next prime is 1385333. The reversal of 1385328 is 8235831.

It is a happy number.

It is a Cunningham number, because it is equal to 11772-1.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1385295 and 1385304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44673 + ... + 44703.

It is an arithmetic number, because the mean of its divisors is an integer number (37696).

21385328 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 1385328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261760).

1385328 is an abundant number, since it is smaller than the sum of its proper divisors (3138192).

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

1385328 is a wasteful number, since it uses less digits than its factorization.

1385328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 62 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 1385328 is about 1176.9995751911. Note that the first 3 decimals coincide. The cubic root of 1385328 is about 111.4767256883.

The spelling of 1385328 in words is "one million, three hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 49 56 57 62 76 84 93 98 112 114 124 133 147 152 168 186 196 217 228 248 266 294 304 336 372 392 399 434 456 496 532 588 589 651 744 784 798 868 912 931 1064 1176 1178 1302 1488 1519 1596 1736 1767 1862 2128 2352 2356 2604 2793 3038 3192 3472 3534 3724 4123 4557 4712 5208 5586 6076 6384 7068 7448 8246 9114 9424 10416 11172 12152 12369 14136 14896 16492 18228 22344 24304 24738 28272 28861 32984 36456 44688 49476 57722 65968 72912 86583 98952 115444 173166 197904 230888 346332 461776 692664 1385328