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434225152 = 214171559
BaseRepresentation
bin11001111000011…
…100000000000000
31010021001220221001
4121320130000000
51342130201102
6111030541344
713521565354
oct3170340000
91107056831
10434225152
11203121869
12101507854
136bc6577a
1441953464
15281c4487
hex19e1c000

434225152 has 60 divisors (see below), whose sum is σ = 920097360. Its totient is φ = 204210176.

The previous prime is 434225147. The next prime is 434225167. The reversal of 434225152 is 251522434.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 434225152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277749 + ... + 279307.

It is an arithmetic number, because the mean of its divisors is an integer number (15334956).

Almost surely, 2434225152 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 434225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460048680).

434225152 is an abundant number, since it is smaller than the sum of its proper divisors (485872208).

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

434225152 is an equidigital number, since it uses as much as digits as its factorization.

434225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1578 counting only the distinct ones).

The product of its digits is 9600, while the sum is 28.

The square root of 434225152 is about 20838.0697762533. The cubic root of 434225152 is about 757.2483318384.

Adding to 434225152 its reverse (251522434), we get a palindrome (685747586).

The spelling of 434225152 in words is "four hundred thirty-four million, two hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1559 2048 2176 3118 4096 4352 6236 8192 8704 12472 16384 17408 24944 26503 34816 49888 53006 69632 99776 106012 139264 199552 212024 278528 399104 424048 798208 848096 1596416 1696192 3192832 3392384 6385664 6784768 12771328 13569536 25542656 27139072 54278144 108556288 217112576 434225152