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434411008 = 29978747
BaseRepresentation
bin11001111001001…
…001011000000000
31010021102100212121
4121321021120000
51342202123013
6111034534024
713523301253
oct3171113000
91107370777
10434411008
11203239469
12101597314
136bccc245
14419a109a
152820e58d
hex19e49600

434411008 has 40 divisors (see below), whose sum is σ = 877021992. Its totient is φ = 214941696.

The previous prime is 434410997. The next prime is 434411011. The reversal of 434411008 is 800114434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45291 + ... + 54037.

Almost surely, 2434411008 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 434411008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438510996).

434411008 is an abundant number, since it is smaller than the sum of its proper divisors (442610984).

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

434411008 is an frugal number, since it uses more digits than its factorization.

434411008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 434411008 is about 20842.5288292952. The cubic root of 434411008 is about 757.3563549615.

The spelling of 434411008 in words is "four hundred thirty-four million, four hundred eleven thousand, eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1552 3104 6208 8747 12416 17494 24832 34988 49664 69976 139952 279904 559808 848459 1119616 1696918 2239232 3393836 4478464 6787672 13575344 27150688 54301376 108602752 217205504 434411008