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423424100 = 2252111722643
BaseRepresentation
bin11001001111001…
…111000001100100
31002111202011200002
4121033033001210
51331344032400
6110003240432
713331021411
oct3117170144
91074664602
10423424100
111a8014880
12b9979118
1369953408
1440341108
152728ded5
hex193cf064

423424100 has 72 divisors (see below), whose sum is σ = 1061369568. Its totient is φ = 144908800.

The previous prime is 423424069. The next prime is 423424103. The reversal of 423424100 is 1424324.

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

It is not an unprimeable number, because it can be changed into a prime (423424103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7379 + ... + 30021.

It is an arithmetic number, because the mean of its divisors is an integer number (14741244).

Almost surely, 2423424100 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 423424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530684784).

423424100 is an abundant number, since it is smaller than the sum of its proper divisors (637945468).

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

423424100 is a wasteful number, since it uses less digits than its factorization.

423424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22685 (or 22678 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 423424100 is about 20577.2714420547. The cubic root of 423424100 is about 750.9168638760.

Adding to 423424100 its reverse (1424324), we get a palindrome (424848424).

The spelling of 423424100 in words is "four hundred twenty-three million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 22643 45286 90572 113215 226430 249073 384931 452860 498146 566075 769862 996292 1132150 1245365 1539724 1924655 2264300 2490730 3849310 4234241 4981460 6226825 7698620 8468482 9623275 12453650 16936964 19246550 21171205 24907300 38493100 42342410 84684820 105856025 211712050 423424100