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335111240 = 23529319319
BaseRepresentation
bin10011111110010…
…110010001001000
3212100120102012102
4103332112101020
51141242024430
653130332532
711206253462
oct2376262110
9770512172
10335111240
11162186042
129428a148
1354572399
1432713132
151e647345
hex13f96448

335111240 has 64 divisors (see below), whose sum is σ = 805248000. Its totient is φ = 125233920.

The previous prime is 335111239. The next prime is 335111279. The reversal of 335111240 is 42111533.

335111240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3351112402 = 224599086348675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 31301 + ... + 40619.

It is an arithmetic number, because the mean of its divisors is an integer number (12582000).

Almost surely, 2335111240 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 335111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402624000).

335111240 is an abundant number, since it is smaller than the sum of its proper divisors (470136760).

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

335111240 is a wasteful number, since it uses less digits than its factorization.

335111240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9390 (or 9386 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 335111240 is about 18306.0438107200. The cubic root of 335111240 is about 694.5918207723.

Adding to 335111240 its reverse (42111533), we get a palindrome (377222773).

The spelling of 335111240 in words is "three hundred thirty-five million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 116 124 145 155 232 248 290 310 580 620 899 1160 1240 1798 3596 4495 7192 8990 9319 17980 18638 35960 37276 46595 74552 93190 186380 270251 288889 372760 540502 577778 1081004 1155556 1351255 1444445 2162008 2311112 2702510 2888890 5405020 5777780 8377781 10810040 11555560 16755562 33511124 41888905 67022248 83777810 167555620 335111240