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340044144 = 243112328001
BaseRepresentation
bin10100010001001…
…010100101110000
3212200212000212120
4110101022211300
51144022403034
653424154240
711266220226
oct2421124560
9780760776
10340044144
11164a45220
1295a68980
13555ab76b
1433238b16
151ecbdc49
hex1444a970

340044144 has 80 divisors (see below), whose sum is σ = 1000007424. Its totient is φ = 98560000.

The previous prime is 340044127. The next prime is 340044163. The reversal of 340044144 is 441440043.

It is a super-3 number, since 3×3400441443 (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1857 + ... + 26144.

Almost surely, 2340044144 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 340044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500003712).

340044144 is an abundant number, since it is smaller than the sum of its proper divisors (659963280).

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

340044144 is a wasteful number, since it uses less digits than its factorization.

340044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28046 (or 28040 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 340044144 is about 18440.2858980006. The cubic root of 340044144 is about 697.9834097036.

Adding to 340044144 its reverse (441440043), we get a palindrome (781484187).

The spelling of 340044144 in words is "three hundred forty million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 28001 56002 84003 112004 168006 224008 308011 336012 448016 616022 644023 672024 924033 1232044 1288046 1344048 1848066 1932069 2464088 2576092 3696132 3864138 4928176 5152184 7084253 7392264 7728276 10304368 14168506 14784528 15456552 21252759 28337012 30913104 42505518 56674024 85011036 113348048 170022072 340044144