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434326494 = 23755973
BaseRepresentation
bin11001111000110…
…100101111011110
31010021021001221110
4121320310233132
51342141421434
6111033042450
713522500000
oct3170645736
91107231843
10434326494
11203190a18
12101556426
136bc9c934
144197c370
15281e44e9
hex19e34bde

434326494 has 96 divisors (see below), whose sum is σ = 1044714240. Its totient is φ = 120318912.

The previous prime is 434326481. The next prime is 434326511. The reversal of 434326494 is 494623434.

It is a happy number.

Its product of digits (248832) is a multiple of the sum of its prime divisors (144).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5949642 + ... + 5949714.

It is an arithmetic number, because the mean of its divisors is an integer number (10882440).

Almost surely, 2434326494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434326494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522357120).

434326494 is an abundant number, since it is smaller than the sum of its proper divisors (610387746).

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

434326494 is an frugal number, since it uses more digits than its factorization.

434326494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 434326494 is about 20840.5012895564. The cubic root of 434326494 is about 757.3072376010.

The spelling of 434326494 in words is "four hundred thirty-four million, three hundred twenty-six thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 49 59 73 98 118 146 147 177 219 294 343 354 413 438 511 686 826 1022 1029 1239 1533 2058 2401 2478 2891 3066 3577 4307 4802 5782 7154 7203 8614 8673 10731 12921 14406 16807 17346 20237 21462 25039 25842 30149 33614 40474 50078 50421 60298 60711 75117 90447 100842 121422 141659 150234 175273 180894 211043 283318 350546 422086 424977 525819 633129 849954 991613 1051638 1226911 1266258 1477301 1983226 2453822 2954602 2974839 3680733 4431903 5949678 7361466 8863806 10341107 20682214 31023321 62046642 72387749 144775498 217163247 434326494