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404234292 = 223711232827
BaseRepresentation
bin11000000110000…
…010000000110100
31001011122020012110
4120012002000310
51311440444132
6104040051020
713005635430
oct3006020064
91034566173
10404234292
111981a8230
12b3463a70
13659949b7
143b9879c0
152574d1cc
hex18182034

404234292 has 144 divisors (see below), whose sum is σ = 1230792192. Its totient is φ = 100309440.

The previous prime is 404234261. The next prime is 404234317. The reversal of 404234292 is 292432404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488383 + ... + 489209.

It is an arithmetic number, because the mean of its divisors is an integer number (8547168).

Almost surely, 2404234292 is an apocalyptic number.

404234292 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404234292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615396096).

404234292 is an abundant number, since it is smaller than the sum of its proper divisors (826557900).

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

404234292 is a wasteful number, since it uses less digits than its factorization.

404234292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 404234292 is about 20105.5786288284. The cubic root of 404234292 is about 739.3970569514.

Adding to 404234292 its reverse (292432404), we get a palindrome (696666696).

The spelling of 404234292 in words is "four hundred four million, two hundred thirty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 529 644 759 827 924 966 1012 1058 1518 1587 1654 1771 1932 2116 2481 3036 3174 3308 3542 3703 4962 5313 5789 5819 6348 7084 7406 9097 9924 10626 11109 11578 11638 14812 17367 17457 18194 19021 21252 22218 23156 23276 27291 34734 34914 36388 38042 40733 44436 54582 57063 63679 69468 69828 76084 81466 109164 114126 122199 127358 133147 162932 191037 209231 228252 244398 254716 266294 382074 399441 418462 437483 488796 532588 627693 764148 798882 836924 874966 1255386 1312449 1464617 1597764 1749932 2510772 2624898 2929234 3062381 4393851 4812313 5249796 5858468 6124762 8787702 9187143 9624626 12249524 14436939 17575404 18374286 19249252 28873878 33686191 36748572 57747756 67372382 101058573 134744764 202117146 404234292