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334442112 = 2733723539
BaseRepresentation
bin10011111011110…
…010111010000000
3212022022102022220
4103323302322000
51141104121422
653104131040
711200465614
oct2373627200
9768272286
10334442112
11161869344
1294006a80
1354399954
14325bb344
151e563e5c
hex13ef2e80

334442112 has 64 divisors (see below), whose sum is σ = 912410400. Its totient is φ = 108463104.

The previous prime is 334442093. The next prime is 334442113. The reversal of 334442112 is 211244433.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3344421122 = 223703052558041088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (334442113) 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, 2439 + ... + 25977.

Almost surely, 2334442112 is an apocalyptic number.

334442112 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 334442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456205200).

334442112 is an abundant number, since it is smaller than the sum of its proper divisors (577968288).

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

334442112 is a wasteful number, since it uses less digits than its factorization.

334442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23593 (or 23581 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 334442112 is about 18287.7585285896. The cubic root of 334442112 is about 694.1292077002.

Adding to 334442112 its reverse (211244433), we get a palindrome (545686545).

It can be divided in two parts, 3344421 and 12, that added together give a palindrome (3344433).

The spelling of 334442112 in words is "three hundred thirty-four million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 23539 47078 70617 94156 141234 188312 282468 376624 564936 753248 870943 1129872 1506496 1741886 2259744 2612829 3012992 3483772 4519488 5225658 6967544 9038976 10451316 13935088 20902632 27870176 41805264 55740352 83610528 111480704 167221056 334442112