Search a number
-
+
394272 = 2532372
BaseRepresentation
bin1100000010000100000
3202000211200
41200100200
5100104042
612241200
73231324
oct1402040
9660750
10394272
1124a24a
12170200
1310a5c8
14a3984
157bc4c
hex60420

394272 has 54 divisors (see below), whose sum is σ = 1152333. Its totient is φ = 127872.

The previous prime is 394271. The next prime is 394291. The reversal of 394272 is 272493.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

394272 is a `hidden beast` number, since 394 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 76176 = 564^2 + 276^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=444.

Its product of digits (3024) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (394271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10638 + ... + 10674.

394272 is a Friedman number, since it can be written as 74^2*9*2^3, using all its digits and the basic arithmetic operations.

2394272 is an apocalyptic number.

394272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394272

394272 is an abundant number, since it is smaller than the sum of its proper divisors (758061).

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

394272 is a wasteful number, since it uses less digits than its factorization.

394272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 394272 is about 627.9108216937. The cubic root of 394272 is about 73.3272354893.

It can be divided in two parts, 394 and 272, that added together give a palindrome (666).

The spelling of 394272 in words is "three hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1369 1776 2664 2738 3552 4107 5328 5476 8214 10656 10952 12321 16428 21904 24642 32856 43808 49284 65712 98568 131424 197136 394272