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335061240 = 233523731663
BaseRepresentation
bin10011111110001…
…010000011111000
3212100110212121120
4103332022003320
51141233424430
653125305240
711205654633
oct2376120370
9770425546
10335061240
11162151518
1294265220
13545556b7
14326dcc1a
151e637610
hex13f8a0f8

335061240 has 128 divisors (see below), whose sum is σ = 1063895040. Its totient is φ = 84243456.

The previous prime is 335061229. The next prime is 335061241. The reversal of 335061240 is 42160533.

It is a happy number.

It is a super-2 number, since 2×3350612402 = 224532069100675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 335061240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335061241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200649 + ... + 202311.

It is an arithmetic number, because the mean of its divisors is an integer number (8311680).

Almost surely, 2335061240 is an apocalyptic number.

335061240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335061240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531947520).

335061240 is an abundant number, since it is smaller than the sum of its proper divisors (728833800).

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

335061240 is a wasteful number, since it uses less digits than its factorization.

335061240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 335061240 is about 18304.6780905866. The cubic root of 335061240 is about 694.5572737181.

The spelling of 335061240 in words is "three hundred thirty-five million, sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 73 92 115 120 138 146 184 219 230 276 292 345 365 438 460 552 584 690 730 876 920 1095 1380 1460 1663 1679 1752 2190 2760 2920 3326 3358 4380 4989 5037 6652 6716 8315 8395 8760 9978 10074 13304 13432 16630 16790 19956 20148 24945 25185 33260 33580 38249 39912 40296 49890 50370 66520 67160 76498 99780 100740 114747 121399 152996 191245 199560 201480 229494 242798 305992 364197 382490 458988 485596 573735 606995 728394 764980 917976 971192 1147470 1213990 1456788 1529960 1820985 2294940 2427980 2792177 2913576 3641970 4589880 4855960 5584354 7283940 8376531 11168708 13960885 14567880 16753062 22337416 27921770 33506124 41882655 55843540 67012248 83765310 111687080 167530620 335061240