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421693344 = 25332711801
BaseRepresentation
bin11001001000101…
…000011110100000
31002101111020112000
4121020220132200
51330423141334
6105502204000
713310222442
oct3110503640
91071436460
10421693344
111a70424a6
12b9283600
13694986b7
1440010492
152704b299
hex192287a0

421693344 has 96 divisors (see below), whose sum is σ = 1235162880. Its totient is φ = 139968000.

The previous prime is 421693343. The next prime is 421693357. The reversal of 421693344 is 443396124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 421693299 and 421693308.

It is not an unprimeable number, because it can be changed into a prime (421693343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 233244 + ... + 235044.

It is an arithmetic number, because the mean of its divisors is an integer number (12866280).

Almost surely, 2421693344 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 421693344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617581440).

421693344 is an abundant number, since it is smaller than the sum of its proper divisors (813469536).

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

421693344 is a wasteful number, since it uses less digits than its factorization.

421693344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2077 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 421693344 is about 20535.1733374715. The cubic root of 421693344 is about 749.8923365455.

The spelling of 421693344 in words is "four hundred twenty-one million, six hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 271 288 432 542 813 864 1084 1626 1801 2168 2439 3252 3602 4336 4878 5403 6504 7204 7317 8672 9756 10806 13008 14408 14634 16209 19512 21612 26016 28816 29268 32418 39024 43224 48627 57632 58536 64836 78048 86448 97254 117072 129672 172896 194508 234144 259344 389016 488071 518688 778032 976142 1464213 1556064 1952284 2928426 3904568 4392639 5856852 7809136 8785278 11713704 13177917 15618272 17570556 23427408 26355834 35141112 46854816 52711668 70282224 105423336 140564448 210846672 421693344