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404034354 = 2321961107181
BaseRepresentation
bin11000000101010…
…001001100110010
31001011021001221100
4120011101030302
51311413044404
6104031505230
713004143503
oct3005211462
91034231840
10404034354
11198080a99
12b3388216
13659249a9
143b934baa
152570dd39
hex18151332

404034354 has 96 divisors (see below), whose sum is σ = 950564160. Its totient is φ = 123638400.

The previous prime is 404034329. The next prime is 404034403. The reversal of 404034354 is 453430404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2232144 + ... + 2232324.

It is an arithmetic number, because the mean of its divisors is an integer number (9901710).

Almost surely, 2404034354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404034354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475282080).

404034354 is an abundant number, since it is smaller than the sum of its proper divisors (546529806).

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

404034354 is a wasteful number, since it uses less digits than its factorization.

404034354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 404034354 is about 20100.6058117660. The cubic root of 404034354 is about 739.2751326518.

Adding to 404034354 its reverse (453430404), we get a palindrome (857464758).

The spelling of 404034354 in words is "four hundred four million, thirty-four thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 38 57 61 107 114 122 171 181 183 214 321 342 362 366 543 549 642 963 1086 1098 1159 1629 1926 2033 2318 3258 3439 3477 4066 6099 6527 6878 6954 10317 10431 11041 12198 13054 18297 19367 19581 20634 20862 22082 30951 33123 36594 38734 39162 58101 58743 61902 66246 99369 116202 117486 124013 174303 198738 209779 248026 348606 367973 372039 419558 629337 735946 744078 1103919 1116117 1181387 1258674 1888011 2207838 2232234 2362774 3311757 3544161 3776022 6623514 7088322 10632483 21264966 22446353 44892706 67339059 134678118 202017177 404034354