Search a number
-
+
422384704 = 26723672
BaseRepresentation
bin11001001011010…
…001010001000000
31002102210100212221
4121023101101000
51331112302304
6105525100424
713316132200
oct3113212100
91072710787
10422384704
111a7474975
12b9557714
136967b2a1
1440150400
1527136054
hex192d1440

422384704 has 63 divisors (see below), whose sum is σ = 977677623. Its totient is φ = 180528768.

The previous prime is 422384659. The next prime is 422384713. The reversal of 422384704 is 407483224.

The square root of 422384704 is 20552.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 422384704.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1150729 + ... + 1151095.

Almost surely, 2422384704 is an apocalyptic number.

422384704 is the 20552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422384704

422384704 is an abundant number, since it is smaller than the sum of its proper divisors (555292919).

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

422384704 is an frugal number, since it uses more digits than its factorization.

422384704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The cubic root of 422384704 is about 750.3019252534.

The spelling of 422384704 in words is "four hundred twenty-two million, three hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 367 392 448 734 784 1468 1568 2569 2936 3136 5138 5872 10276 11744 17983 20552 23488 35966 41104 71932 82208 134689 143864 164416 269378 287728 538756 575456 942823 1077512 1150912 1885646 2155024 3771292 4310048 6599761 7542584 8620096 13199522 15085168 26399044 30170336 52798088 60340672 105596176 211192352 422384704