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421313024 = 2911239313
BaseRepresentation
bin11001000111001…
…011101000000000
31002100202220211002
4121013023220000
51330324004044
6105450111132
713304046566
oct3107135000
91070686732
10421313024
111a6902790
12b911b4a8
1369394562
143dd51a36
1526ec374e
hex191cba00

421313024 has 80 divisors (see below), whose sum is σ = 925119360. Its totient is φ = 190095360.

The previous prime is 421312999. The next prime is 421313051. The reversal of 421313024 is 420313124.

It is a junction number, because it is equal to n+sod(n) for n = 421312987 and 421313005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1345892 + ... + 1346204.

It is an arithmetic number, because the mean of its divisors is an integer number (11563992).

Almost surely, 2421313024 is an apocalyptic number.

421313024 is a gapful number since it is divisible by the number (44) 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 421313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462559680).

421313024 is an abundant number, since it is smaller than the sum of its proper divisors (503806336).

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

421313024 is a wasteful number, since it uses less digits than its factorization.

421313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 421313024 is about 20525.9110394642. The cubic root of 421313024 is about 749.6668292034. Note that the first 3 decimals are identical.

Adding to 421313024 its reverse (420313124), we get a palindrome (841626148).

The spelling of 421313024 in words is "four hundred twenty-one million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 239 256 313 352 478 512 626 704 956 1252 1408 1912 2504 2629 2816 3443 3824 5008 5258 5632 6886 7648 10016 10516 13772 15296 20032 21032 27544 30592 40064 42064 55088 61184 74807 80128 84128 110176 122368 149614 160256 168256 220352 299228 336512 440704 598456 673024 822877 881408 1196912 1346048 1645754 1762816 2393824 3291508 4787648 6583016 9575296 13166032 19150592 26332064 38301184 52664128 105328256 210656512 421313024