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335430400 = 2852173083
BaseRepresentation
bin10011111111100…
…100001100000000
3212101011122000011
4103333210030000
51141332233100
653141234304
711212053124
oct2377441400
9771148004
10335430400
11162383908
1294402994
1354654736
1432797584
151e6abbba
hex13fe4300

335430400 has 108 divisors (see below), whose sum is σ = 879365592. Its totient is φ = 126238720.

The previous prime is 335430397. The next prime is 335430437. The reversal of 335430400 is 4034533.

It is a super-2 number, since 2×3354304002 = 225027106488320000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 107259 + ... + 110341.

It is an arithmetic number, because the mean of its divisors is an integer number (8142274).

Almost surely, 2335430400 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 335430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439682796).

335430400 is an abundant number, since it is smaller than the sum of its proper divisors (543935192).

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

335430400 is a wasteful number, since it uses less digits than its factorization.

335430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 335430400 is about 18314.7590756745. The cubic root of 335430400 is about 694.8122605928.

Adding to 335430400 its reverse (4034533), we get a palindrome (339464933).

The spelling of 335430400 in words is "three hundred thirty-five million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 256 272 320 340 400 425 544 640 680 800 850 1088 1280 1360 1600 1700 2176 2720 3083 3200 3400 4352 5440 6166 6400 6800 10880 12332 13600 15415 21760 24664 27200 30830 49328 52411 54400 61660 77075 98656 104822 108800 123320 154150 197312 209644 246640 262055 308300 394624 419288 493280 524110 616600 789248 838576 986560 1048220 1233200 1310275 1677152 1973120 2096440 2466400 2620550 3354304 3946240 4192880 4932800 5241100 6708608 8385760 9865600 10482200 13417216 16771520 19731200 20964400 33543040 41928800 67086080 83857600 167715200 335430400