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335423440 = 24511675689
BaseRepresentation
bin10011111111100…
…010011111010000
3212101011021110101
4103333202133100
51141332022230
653141142144
711212023622
oct2377423720
9771137411
10335423440
11162379660
12943ba954
1354651511
1432794c12
151e6a9aca
hex13fe27d0

335423440 has 80 divisors (see below), whose sum is σ = 863605440. Its totient is φ = 120130560.

The previous prime is 335423423. The next prime is 335423449. The reversal of 335423440 is 44324533.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3354234402 = 225017768202867200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335423399 and 335423408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335423449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56116 + ... + 61804.

It is an arithmetic number, because the mean of its divisors is an integer number (10795068).

Almost surely, 2335423440 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 335423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431802720).

335423440 is an abundant number, since it is smaller than the sum of its proper divisors (528182000).

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

335423440 is a wasteful number, since it uses less digits than its factorization.

335423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 335423440 is about 18314.5690639993. The cubic root of 335423440 is about 694.8074548996.

Adding to 335423440 its reverse (44324533), we get a palindrome (379747973).

The spelling of 335423440 in words is "three hundred thirty-five million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 335 440 536 670 737 880 1072 1340 1474 2680 2948 3685 5360 5689 5896 7370 11378 11792 14740 22756 28445 29480 45512 56890 58960 62579 91024 113780 125158 227560 250316 312895 381163 455120 500632 625790 762326 1001264 1251580 1524652 1905815 2503160 3049304 3811630 4192793 5006320 6098608 7623260 8385586 15246520 16771172 20963965 30493040 33542344 41927930 67084688 83855860 167711720 335423440