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434454244 = 227177312503
BaseRepresentation
bin11001111001010…
…011111011100100
31010021111120011221
4121321103323210
51342210013434
6111035510124
713523541310
oct3171237344
91107446157
10434454244
112032689a4
121015b8344
136c015b23
14419b2b40
152821c2b4
hex19e53ee4

434454244 has 48 divisors (see below), whose sum is σ = 932698368. Its totient is φ = 172827648.

The previous prime is 434454221. The next prime is 434454253. The reversal of 434454244 is 442454434.

It is a super-2 number, since 2×4344542442 = 377500980259223072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 28497 + ... + 40999.

It is an arithmetic number, because the mean of its divisors is an integer number (19431216).

Almost surely, 2434454244 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 434454244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466349184).

434454244 is an abundant number, since it is smaller than the sum of its proper divisors (498244124).

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

434454244 is a wasteful number, since it uses less digits than its factorization.

434454244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604 (or 12602 counting only the distinct ones).

The product of its digits is 122880, while the sum is 34.

The square root of 434454244 is about 20843.5660096827. The cubic root of 434454244 is about 757.3814801483.

The spelling of 434454244 in words is "four hundred thirty-four million, four hundred fifty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 73 119 146 238 292 476 511 1022 1241 2044 2482 4964 8687 12503 17374 25006 34748 50012 87521 175042 212551 350084 425102 850204 912719 1487857 1825438 2975714 3650876 5951428 6389033 12778066 15516223 25556132 31032446 62064892 108613561 217227122 434454244