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434240 = 2652359
BaseRepresentation
bin1101010000001000000
3211001122222
41222001000
5102343430
613150212
73456002
oct1520100
9731588
10434240
11277284
1218b368
13122861
14b4372
15889e5
hex6a040

434240 has 56 divisors (see below), whose sum is σ = 1097280. Its totient is φ = 163328.

The previous prime is 434237. The next prime is 434243. The reversal of 434240 is 42434.

It is an interprime number because it is at equal distance from previous prime (434237) and next prime (434243).

It is not an unprimeable number, because it can be changed into a prime (434243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7331 + ... + 7389.

2434240 is an apocalyptic number.

434240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548640).

434240 is an abundant number, since it is smaller than the sum of its proper divisors (663040).

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

434240 is a wasteful number, since it uses less digits than its factorization.

434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 434240 is about 658.9688915268. The cubic root of 434240 is about 75.7256962918.

Adding to 434240 its reverse (42434), we get a palindrome (476674).

The spelling of 434240 in words is "four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 59 64 80 92 115 118 160 184 230 236 295 320 368 460 472 590 736 920 944 1180 1357 1472 1840 1888 2360 2714 3680 3776 4720 5428 6785 7360 9440 10856 13570 18880 21712 27140 43424 54280 86848 108560 217120 434240