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434980 = 225713239
BaseRepresentation
bin1101010001100100100
3211002200101
41222030210
5102404410
613153444
73461110
oct1521444
9732611
10434980
11277897
1218b884
13122cb0
14b4740
1588d3a
hex6a324

434980 has 48 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 137088.

The previous prime is 434977. The next prime is 434981. The reversal of 434980 is 89434.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (434981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1701 + ... + 1939.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2434980 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 434980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

434980 is an abundant number, since it is smaller than the sum of its proper divisors (693980).

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

434980 is a wasteful number, since it uses less digits than its factorization.

434980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 434980 is about 659.5301357785. The cubic root of 434980 is about 75.7686872752.

The spelling of 434980 in words is "four hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 239 260 364 455 478 910 956 1195 1673 1820 2390 3107 3346 4780 6214 6692 8365 12428 15535 16730 21749 31070 33460 43498 62140 86996 108745 217490 434980