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335025240 = 233511353719
BaseRepresentation
bin10011111110000…
…001010001011000
3212100102001020020
4103332001101120
51141231301430
653124430440
711205444654
oct2376012130
9770361206
10335025240
11162127470
1294248420
13545421b4
14326cda64
151e62bb10
hex13f81458

335025240 has 128 divisors (see below), whose sum is σ = 1101081600. Its totient is φ = 80875520.

The previous prime is 335025221. The next prime is 335025247. The reversal of 335025240 is 42520533.

It is a super-2 number, since 2×3350252402 = 224483822874115200, 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 335025240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335025247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465601 + ... + 466319.

It is an arithmetic number, because the mean of its divisors is an integer number (8602200).

Almost surely, 2335025240 is an apocalyptic number.

335025240 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 335025240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550540800).

335025240 is an abundant number, since it is smaller than the sum of its proper divisors (766056360).

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

335025240 is a wasteful number, since it uses less digits than its factorization.

335025240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 335025240 is about 18303.6947089925. The cubic root of 335025240 is about 694.5323977110.

Adding to 335025240 its reverse (42520533), we get a palindrome (377545773).

The spelling of 335025240 in words is "three hundred thirty-five million, twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 353 440 660 706 719 1059 1320 1412 1438 1765 2118 2157 2824 2876 3530 3595 3883 4236 4314 5295 5752 7060 7190 7766 7909 8472 8628 10590 10785 11649 14120 14380 15532 15818 17256 19415 21180 21570 23298 23727 28760 31064 31636 38830 39545 42360 43140 46596 47454 58245 63272 77660 79090 86280 93192 94908 116490 118635 155320 158180 189816 232980 237270 253807 316360 465960 474540 507614 761421 949080 1015228 1269035 1522842 2030456 2538070 2791877 3045684 3807105 5076140 5583754 6091368 7614210 8375631 10152280 11167508 13959385 15228420 16751262 22335016 27918770 30456840 33502524 41878155 55837540 67005048 83756310 111675080 167512620 335025240