Search a number
-
+
384326688 = 25323174061
BaseRepresentation
bin10110111010000…
…101110000100000
3222210011211002210
4112322011300200
51241341423223
6102045242120
712344502654
oct2672056040
9883154083
10384326688
11187a40369
12a8863340
1361814655
1439084a64
1523b19893
hex16e85c20

384326688 has 48 divisors (see below), whose sum is σ = 1052726976. Its totient is φ = 122538240.

The previous prime is 384326687. The next prime is 384326693. The reversal of 384326688 is 886623483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (384326687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84823 + ... + 89238.

It is an arithmetic number, because the mean of its divisors is an integer number (21931812).

Almost surely, 2384326688 is an apocalyptic number.

It is an amenable number.

384326688 is an abundant number, since it is smaller than the sum of its proper divisors (668400288).

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

384326688 is a wasteful number, since it uses less digits than its factorization.

384326688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174097 (or 174089 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 384326688 is about 19604.2517837330. The cubic root of 384326688 is about 727.0543007536.

The spelling of 384326688 in words is "three hundred eighty-four million, three hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 174061 348122 522183 696244 1044366 1392488 2088732 2784976 4003403 4177464 5569952 8006806 8354928 12010209 16013612 16709856 24020418 32027224 48040836 64054448 96081672 128108896 192163344 384326688