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434552048 = 24731257487
BaseRepresentation
bin11001111001101…
…011110011110000
31010021200112100022
4121321223303300
51342221131143
6111041543012
713524426410
oct3171536360
91107615308
10434552048
11203325427
12101644a68
136c04b4b8
14419da640
152823b268
hex19e6bcf0

434552048 has 80 divisors (see below), whose sum is σ = 999174144. Its totient is φ = 179159040.

The previous prime is 434552039. The next prime is 434552057. The reversal of 434552048 is 840255434.

It is an interprime number because it is at equal distance from previous prime (434552039) and next prime (434552057).

It is a super-3 number, since 3×4345520483 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434551999 and 434552017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892061 + ... + 892547.

Almost surely, 2434552048 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 434552048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499587072).

434552048 is an abundant number, since it is smaller than the sum of its proper divisors (564622096).

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

434552048 is a wasteful number, since it uses less digits than its factorization.

434552048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The square root of 434552048 is about 20845.9120213053. The cubic root of 434552048 is about 757.4383095930.

The spelling of 434552048 in words is "four hundred thirty-four million, five hundred fifty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 257 434 487 496 514 868 974 1028 1736 1799 1948 2056 3409 3472 3598 3896 4112 6818 7196 7792 7967 13636 14392 15097 15934 27272 28784 30194 31868 54544 55769 60388 63736 105679 111538 120776 125159 127472 211358 223076 241552 250318 422716 446152 500636 845432 876113 892304 1001272 1690864 1752226 2002544 3504452 3879929 7008904 7759858 14017808 15519716 27159503 31039432 54319006 62078864 108638012 217276024 434552048