Search a number
-
+
421340128 = 25112371733
BaseRepresentation
bin11001000111010…
…010001111100000
31002100211021222221
4121013102033200
51330330341003
6105450440424
713304221606
oct3107221740
91070737887
10421340128
111a6921090
12b9133114
13693a39b1
143dd5b876
1526ecb7bd
hex191d23e0

421340128 has 96 divisors (see below), whose sum is σ = 958874112. Its totient is φ = 180364800.

The previous prime is 421340099. The next prime is 421340173. The reversal of 421340128 is 821043124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574450 + ... + 575182.

It is an arithmetic number, because the mean of its divisors is an integer number (9988272).

Almost surely, 2421340128 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 421340128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479437056).

421340128 is an abundant number, since it is smaller than the sum of its proper divisors (537533984).

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

421340128 is a wasteful number, since it uses less digits than its factorization.

421340128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 421340128 is about 20526.5712675059. The cubic root of 421340128 is about 749.6829047679.

The spelling of 421340128 in words is "four hundred twenty-one million, three hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 71 88 92 142 176 184 253 284 352 368 506 568 733 736 781 1012 1136 1466 1562 1633 2024 2272 2932 3124 3266 4048 5864 6248 6532 8063 8096 11728 12496 13064 16126 16859 17963 23456 24992 26128 32252 33718 35926 52043 52256 64504 67436 71852 104086 129008 134872 143704 185449 208172 258016 269744 287408 370898 416344 539488 572473 574816 741796 832688 1144946 1196989 1483592 1665376 2289892 2393978 2967184 4579784 4787956 5934368 9159568 9575912 13166879 18319136 19151824 26333758 38303648 52667516 105335032 210670064 421340128