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434306952 = 23326032041
BaseRepresentation
bin11001111000101…
…111111110001000
31010021020002010200
4121320233332020
51342140310302
6111032412200
713522356012
oct3170577610
91107202120
10434306952
11203178272
12101547060
136bc93a81
14419751b2
15281dd81c
hex19e2ff88

434306952 has 24 divisors (see below), whose sum is σ = 1176248190. Its totient is φ = 144768960.

The previous prime is 434306947. The next prime is 434307001. The reversal of 434306952 is 259603434.

It can be written as a sum of positive squares in only one way, i.e., 378146916 + 56160036 = 19446^2 + 7494^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 3015949 + ... + 3016092.

Almost surely, 2434306952 is an apocalyptic number.

It is an amenable number.

434306952 is an abundant number, since it is smaller than the sum of its proper divisors (741941238).

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

434306952 is a wasteful number, since it uses less digits than its factorization.

434306952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032053 (or 6032046 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 434306952 is about 20840.0324375947. The cubic root of 434306952 is about 757.2958793869.

The spelling of 434306952 in words is "four hundred thirty-four million, three hundred six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6032041 12064082 18096123 24128164 36192246 48256328 54288369 72384492 108576738 144768984 217153476 434306952