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423413300 = 2252149157181
BaseRepresentation
bin11001001111001…
…100011000110100
31002111201121212002
4121033030120310
51331343211200
6110003114432
713330645052
oct3117143064
91074647762
10423413300
111a8007752
12b9972a18
136994b51b
144033b1d2
152728abd5
hex193cc634

423413300 has 72 divisors (see below), whose sum is σ = 936007800. Its totient is φ = 166233600.

The previous prime is 423413297. The next prime is 423413351. The reversal of 423413300 is 3314324.

It can be written as a sum of positive squares in 12 ways, for example, as 367642276 + 55771024 = 19174^2 + 7468^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 2339210 + ... + 2339390.

Almost surely, 2423413300 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 423413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468003900).

423413300 is an abundant number, since it is smaller than the sum of its proper divisors (512594500).

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

423413300 is a wasteful number, since it uses less digits than its factorization.

423413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 423413300 is about 20577.0090149176. The cubic root of 423413300 is about 750.9104794408.

Adding to 423413300 its reverse (3314324), we get a palindrome (426727624).

The spelling of 423413300 in words is "four hundred twenty-three million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 157 181 298 314 362 596 628 724 745 785 905 1490 1570 1810 2980 3140 3620 3725 3925 4525 7450 7850 9050 14900 15700 18100 23393 26969 28417 46786 53938 56834 93572 107876 113668 116965 134845 142085 233930 269690 284170 467860 539380 568340 584825 674225 710425 1169650 1348450 1420850 2339300 2696900 2841700 4234133 8468266 16936532 21170665 42341330 84682660 105853325 211706650 423413300