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335141064 = 23343111663
BaseRepresentation
bin10011111110011…
…101100011001000
3212100121221010000
4103332131203020
51141244003224
653131123000
711206436436
oct2376354310
9770557100
10335141064
111621a6495
12942a3460
1354582b2b
143271dd56
151e6510c9
hex13f9d8c8

335141064 has 80 divisors (see below), whose sum is σ = 942289920. Its totient is φ = 111287520.

The previous prime is 335141047. The next prime is 335141069. The reversal of 335141064 is 460141533.

It is a super-2 number, since 2×3351410642 = 224639065558104192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (335141069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 200697 + ... + 202359.

It is an arithmetic number, because the mean of its divisors is an integer number (11778624).

Almost surely, 2335141064 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 335141064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471144960).

335141064 is an abundant number, since it is smaller than the sum of its proper divisors (607148856).

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

335141064 is a wasteful number, since it uses less digits than its factorization.

335141064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 335141064 is about 18306.8583869543. The cubic root of 335141064 is about 694.6124257630.

Adding to 335141064 its reverse (460141533), we get a palindrome (795282597).

The spelling of 335141064 in words is "three hundred thirty-five million, one hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 311 324 622 648 933 1244 1663 1866 2488 2799 3326 3732 4989 5598 6652 7464 8397 9978 11196 13304 14967 16794 19956 22392 25191 29934 33588 39912 44901 50382 59868 67176 89802 100764 119736 134703 179604 201528 269406 359208 517193 538812 1034386 1077624 1551579 2068772 3103158 4137544 4654737 6206316 9309474 12412632 13964211 18618948 27928422 37237896 41892633 55856844 83785266 111713688 167570532 335141064