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434320704 = 263729107
BaseRepresentation
bin11001111000110…
…011010101000000
31010021020210000000
4121320303111000
51342141230304
6111033000000
713522444056
oct3170632500
91107223000
10434320704
11203187634
12101553000
136bc9a0cc
144197a1d6
15281e2939
hex19e33540

434320704 has 224 divisors, whose sum is σ = 1349654400. Its totient is φ = 138475008.

The previous prime is 434320697. The next prime is 434320717. The reversal of 434320704 is 407023434.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4059019 + ... + 4059125.

Almost surely, 2434320704 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 434320704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674827200).

434320704 is an abundant number, since it is smaller than the sum of its proper divisors (915333696).

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

434320704 is an equidigital number, since it uses as much as digits as its factorization.

434320704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 434320704 is about 20840.3623768878. The cubic root of 434320704 is about 757.3038723689.

The spelling of 434320704 in words is "four hundred thirty-four million, three hundred twenty thousand, seven hundred four".