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335420064 = 25327179787
BaseRepresentation
bin10011111111100…
…001101010100000
3212101011002211100
4103333201222200
51141331420224
653141114400
711212011030
oct2377415240
9771132740
10335420064
11162377071
12943b8a00
135464cb15
14327938c0
151e6a8ac9
hex13fe1aa0

335420064 has 144 divisors (see below), whose sum is σ = 1154357568. Its totient is φ = 90187776.

The previous prime is 335420027. The next prime is 335420087. The reversal of 335420064 is 460024533.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3354200642 = 225013238667528192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29379 + ... + 39165.

It is an arithmetic number, because the mean of its divisors is an integer number (8016372).

Almost surely, 2335420064 is an apocalyptic number.

335420064 is a gapful number since it is divisible by the number (34) 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 335420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577178784).

335420064 is an abundant number, since it is smaller than the sum of its proper divisors (818937504).

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

335420064 is a wasteful number, since it uses less digits than its factorization.

335420064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9827 (or 9816 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 335420064 is about 18314.4768967066. The cubic root of 335420064 is about 694.8051238383.

Adding to 335420064 its reverse (460024533), we get a palindrome (795444597).

The spelling of 335420064 in words is "three hundred thirty-five million, four hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 9787 11424 17136 19574 29361 34272 39148 58722 68509 78296 88083 117444 137018 156592 166379 176166 205527 234888 274036 313184 332758 352332 411054 469776 499137 548072 616581 665516 704664 822108 939552 998274 1096144 1164653 1233162 1331032 1409328 1497411 1644216 1996548 2192288 2329306 2466324 2662064 2818656 2994822 3288432 3493959 3993096 4658612 4932648 5324128 5989644 6576864 6987918 7986192 9317224 9865296 10481877 11979288 13975836 15972384 18634448 19730592 20963754 23958576 27951672 37268896 41927508 47917152 55903344 83855016 111806688 167710032 335420064