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424348340 = 225131632109
BaseRepresentation
bin11001010010110…
…000101010110100
31002120111010111012
4121102300222310
51332113121330
6110035131352
713341621113
oct3122605264
91076433435
10424348340
111a8596209
12ba143b58
1369bb7cc0
1440501c7a
15273c2c95
hex194b0ab4

424348340 has 24 divisors (see below), whose sum is σ = 959680680. Its totient is φ = 156682368.

The previous prime is 424348313. The next prime is 424348349. The reversal of 424348340 is 43843424.

It can be written as a sum of positive squares in 4 ways, for example, as 12988816 + 411359524 = 3604^2 + 20282^2 .

It is a junction number, because it is equal to n+sod(n) for n = 424348297 and 424348306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424348349) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 815795 + ... + 816314.

It is an arithmetic number, because the mean of its divisors is an integer number (39986695).

Almost surely, 2424348340 is an apocalyptic number.

It is an amenable number.

424348340 is an abundant number, since it is smaller than the sum of its proper divisors (535332340).

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

424348340 is a wasteful number, since it uses less digits than its factorization.

424348340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632131 (or 1632129 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 424348340 is about 20599.7169883472. The cubic root of 424348340 is about 751.4628279538.

The spelling of 424348340 in words is "four hundred twenty-four million, three hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1632109 3264218 6528436 8160545 16321090 21217417 32642180 42434834 84869668 106087085 212174170 424348340