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335143040 = 2753714153
BaseRepresentation
bin10011111110011…
…110000010000000
3212100122000211012
4103332132002000
51141244034130
653131140052
711206445261
oct2376360200
9770560735
10335143040
111621a7a21
12942a4628
13545839bb
1432720968
151e651995
hex13f9e080

335143040 has 64 divisors (see below), whose sum is σ = 822913560. Its totient is φ = 130424832.

The previous prime is 335142991. The next prime is 335143079. The reversal of 335143040 is 40341533.

335143040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 306670144 + 28472896 = 17512^2 + 5336^2 .

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

It is a super-2 number, since 2×3351430402 = 224641714520883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335142997 and 335143015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16604 + ... + 30756.

Almost surely, 2335143040 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 335143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411456780).

335143040 is an abundant number, since it is smaller than the sum of its proper divisors (487770520).

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

335143040 is a wasteful number, since it uses less digits than its factorization.

335143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14209 (or 14197 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 335143040 is about 18306.9123557196. The cubic root of 335143040 is about 694.6137909110.

Adding to 335143040 its reverse (40341533), we get a palindrome (375484573).

The spelling of 335143040 in words is "three hundred thirty-five million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1184 1480 2368 2960 4736 5920 11840 14153 23680 28306 56612 70765 113224 141530 226448 283060 452896 523661 566120 905792 1047322 1132240 1811584 2094644 2264480 2618305 4189288 4528960 5236610 8378576 9057920 10473220 16757152 20946440 33514304 41892880 67028608 83785760 167571520 335143040