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434241024 = 293740387
BaseRepresentation
bin11001111000011…
…111111000000000
31010021002201200220
4121320133320000
51342131203044
6111031143040
713521662550
oct3170377000
91107081626
10434241024
11203132788
12101514a80
136bc6ca69
1441959160
15281c9019
hex19e1fe00

434241024 has 80 divisors (see below), whose sum is σ = 1322141568. Its totient is φ = 124065792.

The previous prime is 434241023. The next prime is 434241061. The reversal of 434241024 is 420142434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 434240985 and 434241003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434241023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9442 + ... + 30945.

Almost surely, 2434241024 is an apocalyptic number.

It is an amenable number.

434241024 is an abundant number, since it is smaller than the sum of its proper divisors (887900544).

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

434241024 is an equidigital number, since it uses as much as digits as its factorization.

434241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40415 (or 40399 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 434241024 is about 20838.4506141891. The cubic root of 434241024 is about 757.2575581573.

Adding to 434241024 its reverse (420142434), we get a palindrome (854383458).

It can be divided in two parts, 4342410 and 24, that added together give a palindrome (4342434).

The spelling of 434241024 in words is "four hundred thirty-four million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 40387 80774 121161 161548 242322 282709 323096 484644 565418 646192 848127 969288 1130836 1292384 1696254 1938576 2261672 2584768 3392508 3877152 4523344 5169536 6785016 7754304 9046688 10339072 13570032 15508608 18093376 20678144 27140064 31017216 36186752 54280128 62034432 72373504 108560256 144747008 217120512 434241024