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355041630 = 2345835281
BaseRepresentation
bin10101001010011…
…000000101011110
3220202001222120000
4111022120011132
51211342313010
655121435130
711540542536
oct2512300536
9822058500
10355041630
11172459039
129aa9baa6
135872cc08
14352204c6
15212827c0
hex1529815e

355041630 has 80 divisors (see below), whose sum is σ = 966352464. Its totient is φ = 93519360.

The previous prime is 355041629. The next prime is 355041637. The reversal of 355041630 is 36140553.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 355041594 and 355041603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355041637) 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 39 ways as a sum of consecutive naturals, for example, 64590 + ... + 69870.

Almost surely, 2355041630 is an apocalyptic number.

355041630 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 355041630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483176232).

355041630 is an abundant number, since it is smaller than the sum of its proper divisors (611310834).

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

355041630 is a wasteful number, since it uses less digits than its factorization.

355041630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 355041630 is about 18842.5483945246. The cubic root of 355041630 is about 708.0975519130.

The spelling of 355041630 in words is "three hundred fifty-five million, forty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 83 90 135 162 166 249 270 405 415 498 747 810 830 1245 1494 2241 2490 3735 4482 5281 6723 7470 10562 11205 13446 15843 22410 26405 31686 33615 47529 52810 67230 79215 95058 142587 158430 237645 285174 427761 438323 475290 712935 855522 876646 1314969 1425870 2138805 2191615 2629938 3944907 4277610 4383230 6574845 7889814 11834721 13149690 19724535 23669442 35504163 39449070 59173605 71008326 118347210 177520815 355041630