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423330624 = 2634127643
BaseRepresentation
bin11001001110111…
…000001101000000
31002111120102110000
4121032320031000
51331333034444
6110001240000
713330152033
oct3116701500
91074512400
10423330624
111a7a60622
12b9933000
136991c9c2
144031901a
1527271469
hex193b8340

423330624 has 140 divisors (see below), whose sum is σ = 1266732544. Its totient is φ = 139781376.

The previous prime is 423330599. The next prime is 423330629. The reversal of 423330624 is 426033324.

It is a happy number.

423330624 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 30 + 624 = 666.

It is a Cunningham number, because it is equal to 205752-1.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423330629) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 658047 + ... + 658689.

Almost surely, 2423330624 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 423330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633366272).

423330624 is an abundant number, since it is smaller than the sum of its proper divisors (843401920).

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

423330624 is a wasteful number, since it uses less digits than its factorization.

423330624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 423330624 is about 20574.9999756987. Note that the first 4 decimals coincide. The cubic root of 423330624 is about 750.8616018107.

Adding to 423330624 its reverse (426033324), we get a palindrome (849363948).

The spelling of 423330624 in words is "four hundred twenty-three million, three hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 127 144 162 192 216 254 288 324 381 432 508 576 643 648 762 864 1016 1143 1286 1296 1524 1728 1929 2032 2286 2572 2592 3048 3429 3858 4064 4572 5144 5184 5787 6096 6858 7716 8128 9144 10287 10288 11574 12192 13716 15432 17361 18288 20574 20576 23148 24384 27432 30864 34722 36576 41148 41152 46296 52083 54864 61728 69444 73152 81661 82296 92592 104166 109728 123456 138888 163322 164592 185184 208332 219456 244983 277776 326644 329184 370368 416664 489966 555552 653288 658368 734949 833328 979932 1111104 1306576 1469898 1666656 1959864 2204847 2613152 2939796 3333312 3919728 4409694 5226304 5879592 6614541 7839456 8819388 11759184 13229082 15678912 17638776 23518368 26458164 35277552 47036736 52916328 70555104 105832656 141110208 211665312 423330624