Search a number
-
+
434623644 = 223471314741
BaseRepresentation
bin11001111001111…
…101010010011100
31010021211011120000
4121321331102130
51342230424034
6111043254300
713525145220
oct3171752234
91107734500
10434623644
112033741a4
1210167a390
136c074c70
1441a18780
1528252599
hex19e7d49c

434623644 has 120 divisors (see below), whose sum is σ = 1398485088. Its totient is φ = 114618240.

The previous prime is 434623639. The next prime is 434623669. The reversal of 434623644 is 446326434.

434623644 is a `hidden beast` number, since 4 + 3 + 4 + 6 + 2 + 3 + 644 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 434623599 and 434623608.

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 39 ways as a sum of consecutive naturals, for example, 22114 + ... + 36854.

Almost surely, 2434623644 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 434623644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699242544).

434623644 is an abundant number, since it is smaller than the sum of its proper divisors (963861444).

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

434623644 is a wasteful number, since it uses less digits than its factorization.

434623644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14777 (or 14766 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The square root of 434623644 is about 20847.6292177312. The cubic root of 434623644 is about 757.4799053585.

The spelling of 434623644 in words is "four hundred thirty-four million, six hundred twenty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 14741 14742 29482 29484 44223 58964 88446 103187 132669 176892 191633 206374 265338 309561 383266 398007 412748 530676 574899 619122 766532 796014 928683 1149798 1194021 1238244 1341431 1592028 1724697 1857366 2299596 2388042 2682862 2786049 3449394 3714732 4024293 4776084 5174091 5365724 5572098 6898788 8048586 8358147 10348182 11144196 12072879 15522273 16097172 16716294 20696364 24145758 31044546 33432588 36218637 48291516 62089092 72437274 108655911 144874548 217311822 434623644