Search a number
-
+
388084296 = 233177113397
BaseRepresentation
bin10111001000011…
…011001001001000
31000001020201120110
4113020123021020
51243322144141
6102301554320
712421443045
oct2710331110
91001221513
10388084296
1118a077526
12a9b759a0
136252baa2
14397821cc
152410ce16
hex1721b248

388084296 has 64 divisors (see below), whose sum is σ = 1041828480. Its totient is φ = 120028160.

The previous prime is 388084289. The next prime is 388084297. The reversal of 388084296 is 692480883.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (388084297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22270 + ... + 35666.

It is an arithmetic number, because the mean of its divisors is an integer number (16278570).

Almost surely, 2388084296 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 388084296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520914240).

388084296 is an abundant number, since it is smaller than the sum of its proper divisors (653744184).

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

388084296 is a wasteful number, since it uses less digits than its factorization.

388084296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13494 (or 13490 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 388084296 is about 19699.8552278944. The cubic root of 388084296 is about 729.4161190911.

The spelling of 388084296 in words is "three hundred eighty-eight million, eighty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1704 2414 3621 4828 7242 9656 13397 14484 26794 28968 40191 53588 80382 107176 160764 227749 321528 455498 683247 910996 951187 1366494 1821992 1902374 2732988 2853561 3804748 5465976 5707122 7609496 11414244 16170179 22828488 32340358 48510537 64680716 97021074 129361432 194042148 388084296