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355043424 = 25319613191
BaseRepresentation
bin10101001010011…
…000100001100000
3220202002002000110
4111022120201200
51211342342144
655121451320
711540551011
oct2512304140
9822062013
10355043424
1117245a41a
129aaa0b40
1358730988
1435221008
15212830b9
hex15298860

355043424 has 96 divisors (see below), whose sum is σ = 997436160. Its totient is φ = 110246400.

The previous prime is 355043393. The next prime is 355043467. The reversal of 355043424 is 424340553.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 355043391 and 355043400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109669 + ... + 112859.

It is an arithmetic number, because the mean of its divisors is an integer number (10389960).

Almost surely, 2355043424 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 355043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498718080).

355043424 is an abundant number, since it is smaller than the sum of its proper divisors (642392736).

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

355043424 is a wasteful number, since it uses less digits than its factorization.

355043424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 355043424 is about 18842.5959994901. The cubic root of 355043424 is about 708.0987445664.

Adding to 355043424 its reverse (424340553), we get a palindrome (779383977).

The spelling of 355043424 in words is "three hundred fifty-five million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 76 96 114 122 152 183 228 244 304 366 456 488 608 732 912 976 1159 1464 1824 1952 2318 2928 3191 3477 4636 5856 6382 6954 9272 9573 12764 13908 18544 19146 25528 27816 37088 38292 51056 55632 60629 76584 102112 111264 121258 153168 181887 194651 242516 306336 363774 389302 485032 583953 727548 778604 970064 1167906 1455096 1557208 1940128 2335812 2910192 3114416 3698369 4671624 5820384 6228832 7396738 9343248 11095107 14793476 18686496 22190214 29586952 44380428 59173904 88760856 118347808 177521712 355043424