Search a number
-
+
335340864 = 2633474129
BaseRepresentation
bin10011111111001…
…110010101000000
3212101000002012000
4103333032111000
51141321401424
653135304000
711211231105
oct2377162500
9771002160
10335340864
11162322611
129437b000
1354622a61
1432772aac
151e6903c9
hex13fce540

335340864 has 112 divisors (see below), whose sum is σ = 1007059200. Its totient is φ = 109375488.

The previous prime is 335340847. The next prime is 335340871. The reversal of 335340864 is 468043533.

It is a super-2 number, since 2×3353408642 = 224906990136532992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 79152 + ... + 83280.

It is an arithmetic number, because the mean of its divisors is an integer number (8991600).

Almost surely, 2335340864 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 335340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503529600).

335340864 is an abundant number, since it is smaller than the sum of its proper divisors (671718336).

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

335340864 is a wasteful number, since it uses less digits than its factorization.

335340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 335340864 is about 18312.3145451360. The cubic root of 335340864 is about 694.7504333139.

The spelling of 335340864 in words is "three hundred thirty-five million, three hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 141 144 188 192 216 282 288 376 423 432 564 576 752 846 864 1128 1269 1504 1692 1728 2256 2538 3008 3384 4129 4512 5076 6768 8258 9024 10152 12387 13536 16516 20304 24774 27072 33032 37161 40608 49548 66064 74322 81216 99096 111483 132128 148644 194063 198192 222966 264256 297288 388126 396384 445932 582189 594576 776252 792768 891864 1164378 1189152 1552504 1746567 1783728 2328756 2378304 3105008 3493134 3567456 4657512 5239701 6210016 6986268 7134912 9315024 10479402 12420032 13972536 18630048 20958804 27945072 37260096 41917608 55890144 83835216 111780288 167670432 335340864