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429450 = 23527409
BaseRepresentation
bin1101000110110001010
3210211002120
41220312022
5102220300
613112110
73436020
oct1506612
9724076
10429450
1127371a
12188636
13120618
14b2710
15873a0
hex68d8a

429450 has 48 divisors (see below), whose sum is σ = 1220160. Its totient is φ = 97920.

The previous prime is 429449. The next prime is 429463. The reversal of 429450 is 54924.

429450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 429450.

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, 846 + ... + 1254.

It is an arithmetic number, because the mean of its divisors is an integer number (25420).

2429450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610080).

429450 is an abundant number, since it is smaller than the sum of its proper divisors (790710).

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

429450 is a wasteful number, since it uses less digits than its factorization.

429450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 429450 is about 655.3243471747. The cubic root of 429450 is about 75.4462286896.

It can be divided in two parts, 42 and 9450, that multiplied together give a square (396900 = 6302).

The spelling of 429450 in words is "four hundred twenty-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 409 525 818 1050 1227 2045 2454 2863 4090 5726 6135 8589 10225 12270 14315 17178 20450 28630 30675 42945 61350 71575 85890 143150 214725 429450