Search a number
-
+
335500540 = 225234117789
BaseRepresentation
bin10011111111110…
…101010011111100
3212101022012012221
4103333311103330
51141342004130
653142535124
711212464454
oct2377652374
9771265187
10335500540
11162421581
12944374a4
135467a63b
14327b4d64
151e6c287a
hex13ff54fc

335500540 has 48 divisors (see below), whose sum is σ = 753157440. Its totient is φ = 125227520.

The previous prime is 335500493. The next prime is 335500553. The reversal of 335500540 is 45005533.

It is a happy number.

It is a super-2 number, since 2×3355005402 = 225121224680583200, which contains 22 as substring.

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, 9966 + ... + 27754.

It is an arithmetic number, because the mean of its divisors is an integer number (15690780).

Almost surely, 2335500540 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 335500540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376578720).

335500540 is an abundant number, since it is smaller than the sum of its proper divisors (417656900).

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

335500540 is a wasteful number, since it uses less digits than its factorization.

335500540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17862 (or 17860 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 335500540 is about 18316.6738246877. The cubic root of 335500540 is about 694.8606866702.

The spelling of 335500540 in words is "three hundred thirty-five million, five hundred thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 9430 17789 18860 35578 71156 88945 177890 355780 409147 729349 818294 1458698 1636588 2045735 2917396 3646745 4091470 7293490 8182940 14586980 16775027 33550054 67100108 83875135 167750270 335500540