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434455104 = 2633476521
BaseRepresentation
bin11001111001010…
…100001001000000
31010021111121100210
4121321110021000
51342210030404
6111035514120
713523543646
oct3171241100
91107447323
10434455104
11203269606
121015b8940
136c016335
14419b3196
152821c689
hex19e54240

434455104 has 56 divisors (see below), whose sum is σ = 1152985248. Its totient is φ = 144378880.

The previous prime is 434455079. The next prime is 434455123. The reversal of 434455104 is 401554434.

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 7 ways as a sum of consecutive naturals, for example, 63364 + ... + 69884.

Almost surely, 2434455104 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 434455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576492624).

434455104 is an abundant number, since it is smaller than the sum of its proper divisors (718530144).

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

434455104 is a wasteful number, since it uses less digits than its factorization.

434455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 434455104 is about 20843.5866395398. The cubic root of 434455104 is about 757.3819798922.

The spelling of 434455104 in words is "four hundred thirty-four million, four hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 347 694 1041 1388 2082 2776 4164 5552 6521 8328 11104 13042 16656 19563 22208 26084 33312 39126 52168 66624 78252 104336 156504 208672 313008 417344 626016 1252032 2262787 4525574 6788361 9051148 13576722 18102296 27153444 36204592 54306888 72409184 108613776 144818368 217227552 434455104