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355112424 = 2335296299
BaseRepresentation
bin10101001010101…
…001010111101000
3220202012120200000
4111022221113220
51211402044144
655123143000
711541256122
oct2512512750
9822176600
10355112424
111724a7247
129ab14a60
13587561c4
143523c212
1521298769
hex152a95e8

355112424 has 96 divisors (see below), whose sum is σ = 1031940000. Its totient is φ = 114270912.

The previous prime is 355112419. The next prime is 355112431. The reversal of 355112424 is 424211553.

It is a super-2 number, since 2×3551124242 = 252209667358311552, which contains 22 as substring.

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

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, 53227 + ... + 59525.

It is an arithmetic number, because the mean of its divisors is an integer number (10749375).

Almost surely, 2355112424 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 355112424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515970000).

355112424 is an abundant number, since it is smaller than the sum of its proper divisors (676827576).

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

355112424 is a wasteful number, since it uses less digits than its factorization.

355112424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6349 (or 6333 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 355112424 is about 18844.4268684404. The cubic root of 355112424 is about 708.1446128042.

Adding to 355112424 its reverse (424211553), we get a palindrome (779323977).

The spelling of 355112424 in words is "three hundred fifty-five million, one hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 783 972 1044 1566 1944 2088 2349 3132 4698 6264 6299 7047 9396 12598 14094 18792 18897 25196 28188 37794 50392 56376 56691 75588 113382 151176 170073 182671 226764 340146 365342 453528 510219 548013 680292 730684 1020438 1096026 1360584 1461368 1530657 1644039 2040876 2192052 3061314 3288078 4081752 4384104 4932117 6122628 6576156 9864234 12245256 13152312 14796351 19728468 29592702 39456936 44389053 59185404 88778106 118370808 177556212 355112424