Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
422834480 = 245431011217
BaseRepresentation
bin11001001100111…
…111000100110000
31002110122012212022
4121030333010300
51331221200410
6105542451012
713323014405
oct3114770460
91073565768
10422834480
111a7751892
12b9733a68
13697a7c23
144022a2ac
15271c4455
hex1933f130

422834480 has 80 divisors (see below), whose sum is σ = 1016747424. Its totient is φ = 163430400.

The previous prime is 422834479. The next prime is 422834491. The reversal of 422834480 is 84438224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×4228344803 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 422834480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346832 + ... + 348048.

Almost surely, 2422834480 is an apocalyptic number.

422834480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508373712).

422834480 is an abundant number, since it is smaller than the sum of its proper divisors (593912944).

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

422834480 is a wasteful number, since it uses less digits than its factorization.

422834480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The square root of 422834480 is about 20562.9394785862. The cubic root of 422834480 is about 750.5681502391.

The spelling of 422834480 in words is "four hundred twenty-two million, eight hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 101 172 202 215 344 404 430 505 688 808 860 1010 1217 1616 1720 2020 2434 3440 4040 4343 4868 6085 8080 8686 9736 12170 17372 19472 21715 24340 34744 43430 48680 52331 69488 86860 97360 104662 122917 173720 209324 245834 261655 347440 418648 491668 523310 614585 837296 983336 1046620 1229170 1966672 2093240 2458340 4186480 4916680 5285431 9833360 10570862 21141724 26427155 42283448 52854310 84566896 105708620 211417240 422834480