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434351004 = 223347104311
BaseRepresentation
bin11001111000111…
…010101110011100
31010021022022120020
4121320322232130
51342143213004
6111033352140
713522631313
oct3170725634
91107268506
10434351004
112031a837a
12101568650
136bcaab39
144198727a
15281eb8d9
hex19e3ab9c

434351004 has 24 divisors (see below), whose sum is σ = 1016416128. Its totient is φ = 144365040.

The previous prime is 434350981. The next prime is 434351011. The reversal of 434351004 is 400153434.

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 7 ways as a sum of consecutive naturals, for example, 47992 + ... + 56319.

It is an arithmetic number, because the mean of its divisors is an integer number (42350672).

Almost surely, 2434351004 is an apocalyptic number.

It is an amenable number.

434351004 is an abundant number, since it is smaller than the sum of its proper divisors (582065124).

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

434351004 is a wasteful number, since it uses less digits than its factorization.

434351004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104665 (or 104663 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 434351004 is about 20841.0893189392. The cubic root of 434351004 is about 757.3214828378.

The spelling of 434351004 in words is "four hundred thirty-four million, three hundred fifty-one thousand, four".

Divisors: 1 2 3 4 6 12 347 694 1041 1388 2082 4164 104311 208622 312933 417244 625866 1251732 36195917 72391834 108587751 144783668 217175502 434351004