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335013140 = 2257112111031
BaseRepresentation
bin10011111101111…
…110010100010100
3212100101102122002
4103331332110110
51141230410030
653124254432
711205364460
oct2375762424
9770342562
10335013140
11162119370
1294241418
1354539837
14326c94a0
151e628245
hex13f7e514

335013140 has 96 divisors (see below), whose sum is σ = 882137088. Its totient is φ = 103824000.

The previous prime is 335013139. The next prime is 335013143. The reversal of 335013140 is 41310533.

It is a happy number.

335013140 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 2×3350131402 = 224467607945319200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335013143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324425 + ... + 325455.

It is an arithmetic number, because the mean of its divisors is an integer number (9188928).

Almost surely, 2335013140 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 335013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441068544).

335013140 is an abundant number, since it is smaller than the sum of its proper divisors (547123948).

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

335013140 is a wasteful number, since it uses less digits than its factorization.

335013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 335013140 is about 18303.3641716489. The cubic root of 335013140 is about 694.5240362084.

Adding to 335013140 its reverse (41310533), we get a palindrome (376323673).

The spelling of 335013140 in words is "three hundred thirty-five million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 211 220 308 385 422 770 844 1031 1055 1477 1540 2062 2110 2321 2954 4124 4220 4642 5155 5908 7217 7385 9284 10310 11341 11605 14434 14770 16247 20620 22682 23210 28868 29540 32494 36085 45364 46420 56705 64988 72170 79387 81235 113410 144340 158774 162470 217541 226820 317548 324940 396935 435082 793870 870164 1087705 1522787 1587740 2175410 2392951 3045574 4350820 4785902 6091148 7613935 9571804 11964755 15227870 16750657 23929510 30455740 33501314 47859020 67002628 83753285 167506570 335013140