Search a number
-
+
335142420 = 223517595569
BaseRepresentation
bin10011111110011…
…101111000010100
3212100121222222020
4103332131320110
51141244024140
653131133140
711206443414
oct2376357024
9770558866
10335142420
111621a7508
12942a41b0
1354583632
1432720644
151e6516d0
hex13f9de14

335142420 has 96 divisors (see below), whose sum is σ = 1010620800. Its totient is φ = 82673664.

The previous prime is 335142419. The next prime is 335142421. The reversal of 335142420 is 24241533.

It is an interprime number because it is at equal distance from previous prime (335142419) and next prime (335142421).

It is a super-2 number, since 2×3351424202 = 224640883366912800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335142421) 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, 57396 + ... + 62964.

It is an arithmetic number, because the mean of its divisors is an integer number (10527300).

Almost surely, 2335142420 is an apocalyptic number.

335142420 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 335142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505310400).

335142420 is an abundant number, since it is smaller than the sum of its proper divisors (675478380).

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

335142420 is a wasteful number, since it uses less digits than its factorization.

335142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 335142420 is about 18306.8954222173. The cubic root of 335142420 is about 694.6133625756.

Adding to 335142420 its reverse (24241533), we get a palindrome (359383953).

The spelling of 335142420 in words is "three hundred thirty-five million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 59 60 68 85 102 118 170 177 204 236 255 295 340 354 510 590 708 885 1003 1020 1180 1770 2006 3009 3540 4012 5015 5569 6018 10030 11138 12036 15045 16707 20060 22276 27845 30090 33414 55690 60180 66828 83535 94673 111380 167070 189346 284019 328571 334140 378692 473365 568038 657142 946730 985713 1136076 1314284 1420095 1642855 1893460 1971426 2840190 3285710 3942852 4928565 5585707 5680380 6571420 9857130 11171414 16757121 19714260 22342828 27928535 33514242 55857070 67028484 83785605 111714140 167571210 335142420