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355268430 = 23551113291
BaseRepresentation
bin10101001011001…
…111011101001110
3220202111111200000
4111023033131032
51211422042210
655130345130
711542506006
oct2513173516
9822444600
10355268430
111725a3480
129ab8b1a6
13587ac20a
143527d006
15212c9ac0
hex152cf74e

355268430 has 96 divisors (see below), whose sum is σ = 1045070208. Its totient is φ = 86119200.

The previous prime is 355268411. The next prime is 355268447. The reversal of 355268430 is 34862553.

It is a happy number.

355268430 is a `hidden beast` number, since 3 + 552 + 68 + 43 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20085 + ... + 33375.

It is an arithmetic number, because the mean of its divisors is an integer number (10886148).

Almost surely, 2355268430 is an apocalyptic number.

355268430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 355268430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522535104).

355268430 is an abundant number, since it is smaller than the sum of its proper divisors (689801778).

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

355268430 is a wasteful number, since it uses less digits than its factorization.

355268430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13324 (or 13312 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 355268430 is about 18848.5657279274. The cubic root of 355268430 is about 708.2482969966.

It can be divided in two parts, 35526 and 8430, that added together give a triangular number (43956 = T296).

The spelling of 355268430 in words is "three hundred fifty-five million, two hundred sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 810 891 990 1215 1485 1782 2430 2673 2970 4455 5346 8910 13291 13365 26582 26730 39873 66455 79746 119619 132910 146201 199365 239238 292402 358857 398730 438603 598095 717714 731005 877206 1076571 1196190 1315809 1462010 1794285 2153142 2193015 2631618 3229713 3588570 3947427 4386030 5382855 6459426 6579045 7894854 10765710 11842281 13158090 16148565 19737135 23684562 32297130 35526843 39474270 59211405 71053686 118422810 177634215 355268430