Search a number
-
+
394342344 = 233811683
BaseRepresentation
bin10111100000010…
…010111111001000
31000111000200000000
4113200102333020
51301422423334
6103044043000
712525566064
oct2740227710
91014020000
10394342344
11192661270
12b0093460
1363910386
143a530aa4
1524947299
hex17812fc8

394342344 has 144 divisors (see below), whose sum is σ = 1211623920. Its totient is φ = 119322720.

The previous prime is 394342343. The next prime is 394342363. The reversal of 394342344 is 443243493.

It is a happy number.

394342344 is a `hidden beast` number, since 394 + 34 + 234 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 394342299 and 394342308.

It is not an unprimeable number, because it can be changed into a prime (394342343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 577027 + ... + 577709.

It is an arithmetic number, because the mean of its divisors is an integer number (8414055).

Almost surely, 2394342344 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 394342344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605811960).

394342344 is an abundant number, since it is smaller than the sum of its proper divisors (817281576).

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

394342344 is an equidigital number, since it uses as much as digits as its factorization.

394342344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 699 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 394342344 is about 19858.0548896411. The cubic root of 394342344 is about 733.3159612046.

The spelling of 394342344 in words is "three hundred ninety-four million, three hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 683 729 792 891 972 1188 1366 1458 1782 1944 2049 2187 2376 2673 2732 2916 3564 4098 4374 5346 5464 5832 6147 6561 7128 7513 8019 8196 8748 10692 12294 13122 15026 16038 16392 17496 18441 21384 22539 24057 24588 26244 30052 32076 36882 45078 48114 49176 52488 55323 60104 64152 67617 72171 73764 90156 96228 110646 135234 144342 147528 165969 180312 192456 202851 221292 270468 288684 331938 405702 442584 497907 540936 577368 608553 663876 811404 995814 1217106 1327752 1493721 1622808 1825659 1991628 2434212 2987442 3651318 3983256 4481163 4868424 5476977 5974884 7302636 8962326 10953954 11949768 14605272 16430931 17924652 21907908 32861862 35849304 43815816 49292793 65723724 98585586 131447448 197171172 394342344