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354243280 = 24517416353
BaseRepresentation
bin10101000111010…
…101001011010000
3220200120102102111
4111013111023100
51211141241110
655052355104
711531006146
oct2507251320
9820512374
10354243280
11171a63246
129a775a94
1358510711
1435093596
1521175e8a
hex151d52d0

354243280 has 80 divisors (see below), whose sum is σ = 893474064. Its totient is φ = 130088960.

The previous prime is 354243247. The next prime is 354243289. The reversal of 354243280 is 82342453.

354243280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17740944 + 336502336 = 4212^2 + 18344^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3542432803 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354243289) 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 15 ways as a sum of consecutive naturals, for example, 52584 + ... + 58936.

Almost surely, 2354243280 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 354243280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446737032).

354243280 is an abundant number, since it is smaller than the sum of its proper divisors (539230784).

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

354243280 is a wasteful number, since it uses less digits than its factorization.

354243280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 354243280 is about 18821.3517049122. The cubic root of 354243280 is about 707.5664086299.

The spelling of 354243280 in words is "three hundred fifty-four million, two hundred forty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 205 272 328 340 410 656 680 697 820 1360 1394 1640 2788 3280 3485 5576 6353 6970 11152 12706 13940 25412 27880 31765 50824 55760 63530 101648 108001 127060 216002 254120 260473 432004 508240 520946 540005 864008 1041892 1080010 1302365 1728016 2083784 2160020 2604730 4167568 4320040 4428041 5209460 8640080 8856082 10418920 17712164 20837840 22140205 35424328 44280410 70848656 88560820 177121640 354243280