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335043140 = 225173726633
BaseRepresentation
bin10011111110000…
…101101001000100
3212100102221210012
4103332011221010
51141232340030
653125045352
711205551105
oct2376055104
9770387705
10335043140
11162139963
1294256858
135454a3a3
14326d63ac
151e632095
hex13f85a44

335043140 has 48 divisors (see below), whose sum is σ = 765141552. Its totient is φ = 122720256.

The previous prime is 335043113. The next prime is 335043161. The reversal of 335043140 is 41340533.

It can be written as a sum of positive squares in 8 ways, for example, as 122058304 + 212984836 = 11048^2 + 14594^2 .

It is a super-3 number, since 3×3350431403 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737 + ... + 25896.

It is an arithmetic number, because the mean of its divisors is an integer number (15940449).

Almost surely, 2335043140 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 335043140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382570776).

335043140 is an abundant number, since it is smaller than the sum of its proper divisors (430098412).

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

335043140 is a wasteful number, since it uses less digits than its factorization.

335043140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26696 (or 26694 counting only the distinct ones).

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

The square root of 335043140 is about 18304.1836747777. The cubic root of 335043140 is about 694.5447668373.

Adding to 335043140 its reverse (41340533), we get a palindrome (376383673).

The spelling of 335043140 in words is "three hundred thirty-five million, forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 12580 26633 53266 106532 133165 266330 452761 532660 905522 985421 1811044 1970842 2263805 3941684 4527610 4927105 9055220 9854210 16752157 19708420 33504314 67008628 83760785 167521570 335043140