Search a number
-
+
423041004 = 2232193171281
BaseRepresentation
bin11001001101110…
…001011111101100
31002111000201011100
4121031301133230
51331244303004
6105551123100
713324534461
oct3115613754
91074021140
10423041004
111a7882a71
12b9813490
136984ac29
1440281668
1527215739
hex193717ec

423041004 has 144 divisors (see below), whose sum is σ = 1182504960. Its totient is φ = 127008000.

The previous prime is 423040987. The next prime is 423041011. The reversal of 423041004 is 400140324.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1505344 + ... + 1505624.

It is an arithmetic number, because the mean of its divisors is an integer number (8211840).

Almost surely, 2423041004 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 423041004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591252480).

423041004 is an abundant number, since it is smaller than the sum of its proper divisors (759463956).

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

423041004 is a wasteful number, since it uses less digits than its factorization.

423041004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 423041004 is about 20567.9606183987. The cubic root of 423041004 is about 750.6903297315.

Adding to 423041004 its reverse (400140324), we get a palindrome (823181328).

The spelling of 423041004 in words is "four hundred twenty-three million, forty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 71 76 93 114 124 142 171 186 213 228 279 281 284 342 372 426 558 562 589 639 684 843 852 1116 1124 1178 1278 1349 1686 1767 2201 2356 2529 2556 2698 3372 3534 4047 4402 5058 5301 5339 5396 6603 7068 8094 8711 8804 10116 10602 10678 12141 13206 16017 16188 17422 19809 19951 21204 21356 24282 26133 26412 32034 34844 39618 39902 41819 48051 48564 52266 59853 64068 78399 79236 79804 83638 96102 104532 119706 125457 156798 165509 167276 179559 192204 239412 250914 313596 331018 359118 376371 379069 496527 501828 618481 662036 718236 752742 758138 993054 1137207 1236962 1489581 1505484 1516276 1855443 1986108 2274414 2473924 2979162 3411621 3710886 4548828 5566329 5958324 6823242 7421772 11132658 11751139 13646484 22265316 23502278 35253417 47004556 70506834 105760251 141013668 211520502 423041004