Search a number
-
+
394424128 = 2672294337
BaseRepresentation
bin10111100000100…
…110111101000000
31000111011211012001
4113200212331000
51301433033003
6103045513344
712526356400
oct2740467500
91014154161
10394424128
1119270775a
12b0112854
136393b677
143a552800
152496161d
hex17826f40

394424128 has 84 divisors (see below), whose sum is σ = 942083460. Its totient is φ = 163172352.

The previous prime is 394424119. The next prime is 394424131. The reversal of 394424128 is 821424493.

It can be written as a sum of positive squares in 2 ways, for example, as 77299264 + 317124864 = 8792^2 + 17808^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88776 + ... + 93112.

Almost surely, 2394424128 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 394424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471041730).

394424128 is an abundant number, since it is smaller than the sum of its proper divisors (547659332).

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

394424128 is a wasteful number, since it uses less digits than its factorization.

394424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4375 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 394424128 is about 19860.1139976587. The cubic root of 394424128 is about 733.3666526642.

The spelling of 394424128 in words is "three hundred ninety-four million, four hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 196 203 224 232 392 406 448 464 784 812 928 1421 1568 1624 1856 2842 3136 3248 4337 5684 6496 8674 11368 12992 17348 22736 30359 34696 45472 60718 69392 90944 121436 125773 138784 212513 242872 251546 277568 425026 485744 503092 850052 880411 971488 1006184 1700104 1760822 1942976 2012368 3400208 3521644 4024736 6162877 6800416 7043288 8049472 12325754 13600832 14086576 24651508 28173152 49303016 56346304 98606032 197212064 394424128