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423719424 = 293417601
BaseRepresentation
bin11001010000010…
…111001000000000
31002112022011210000
4121100113020000
51331433010144
6110013440000
713333361412
oct3120271000
91075264700
10423719424
111a81a6747
12b9aa0000
1369a2796b
14403ba9b2
15272eb769
hex19417200

423719424 has 200 divisors, whose sum is σ = 1341312588. Its totient is φ = 132710400.

The previous prime is 423719419. The next prime is 423719431. The reversal of 423719424 is 424917324.

It can be written as a sum of positive squares in 2 ways, for example, as 377913600 + 45805824 = 19440^2 + 6768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 704724 + ... + 705324.

Almost surely, 2423719424 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 423719424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670656294).

423719424 is an abundant number, since it is smaller than the sum of its proper divisors (917593164).

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

423719424 is an equidigital number, since it uses as much as digits as its factorization.

423719424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 623 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 423719424 is about 20584.4461669485. The cubic root of 423719424 is about 751.0914030156.

The spelling of 423719424 in words is "four hundred twenty-three million, seven hundred nineteen thousand, four hundred twenty-four".