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700434 = 233717109
BaseRepresentation
bin10101011000000010010
31022120211000
42223000102
5134403214
623002430
75645040
oct2530022
91276730
10700434
11439279
12299416
131b6a77
14143390
15dc809
hexab012

700434 has 64 divisors (see below), whose sum is σ = 1900800. Its totient is φ = 186624.

The previous prime is 700433. The next prime is 700459. The reversal of 700434 is 434007.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 700434.

It is not an unprimeable number, because it can be changed into a prime (700433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6372 + ... + 6480.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2700434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 700434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950400).

700434 is an abundant number, since it is smaller than the sum of its proper divisors (1200366).

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

700434 is a wasteful number, since it uses less digits than its factorization.

700434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 700434 is about 836.9193509532. The cubic root of 700434 is about 88.8087463993.

The spelling of 700434 in words is "seven hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 109 119 126 153 189 218 238 306 327 357 378 459 654 714 763 918 981 1071 1526 1853 1962 2142 2289 2943 3213 3706 4578 5559 5886 6426 6867 11118 12971 13734 16677 20601 25942 33354 38913 41202 50031 77826 100062 116739 233478 350217 700434