Search a number
-
+
424348002 = 2321316710859
BaseRepresentation
bin11001010010110…
…000100101100010
31002120111010000200
4121102300211202
51332113114002
6110035130030
713341620121
oct3122604542
91076433020
10424348002
111a8595a31
12ba143916
1369bb7ac0
1440501ab8
15273c2b1c
hex194b0962

424348002 has 48 divisors (see below), whose sum is σ = 996166080. Its totient is φ = 129774816.

The previous prime is 424347997. The next prime is 424348013. The reversal of 424348002 is 200843424.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33649 + ... + 44507.

It is an arithmetic number, because the mean of its divisors is an integer number (20753460).

Almost surely, 2424348002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424348002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498083040).

424348002 is an abundant number, since it is smaller than the sum of its proper divisors (571818078).

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

424348002 is a wasteful number, since it uses less digits than its factorization.

424348002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11047 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 424348002 is about 20599.7087843494. The cubic root of 424348002 is about 751.4626284365.

The spelling of 424348002 in words is "four hundred twenty-four million, three hundred forty-eight thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 167 234 334 501 1002 1503 2171 3006 4342 6513 10859 13026 19539 21718 32577 39078 65154 97731 141167 195462 282334 423501 847002 1270503 1813453 2541006 3626906 5440359 10880718 16321077 23574889 32642154 47149778 70724667 141449334 212174001 424348002