Search a number
-
+
431213244 = 2237113712613
BaseRepresentation
bin11001101100111…
…100101010111100
31010001101220100220
4121230330222330
51340342310434
6110442221340
713454152320
oct3154745274
91101356326
10431213244
11201454990
121004b4850
136b44c887
14413ab980
1527ccbd49
hex19b3cabc

431213244 has 96 divisors (see below), whose sum is σ = 1288444416. Its totient is φ = 108967680.

The previous prime is 431213221. The next prime is 431213329. The reversal of 431213244 is 442312134.

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

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 31 ways as a sum of consecutive naturals, for example, 27882 + ... + 40494.

It is an arithmetic number, because the mean of its divisors is an integer number (13421296).

Almost surely, 2431213244 is an apocalyptic number.

431213244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431213244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644222208).

431213244 is an abundant number, since it is smaller than the sum of its proper divisors (857231172).

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

431213244 is a wasteful number, since it uses less digits than its factorization.

431213244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12675 (or 12673 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 431213244 is about 20765.6746579542. The cubic root of 431213244 is about 755.4934388219.

Adding to 431213244 its reverse (442312134), we get a palindrome (873525378).

The spelling of 431213244 in words is "four hundred thirty-one million, two hundred thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 66 74 77 84 111 132 148 154 222 231 259 308 407 444 462 518 777 814 924 1036 1221 1554 1628 2442 2849 3108 4884 5698 8547 11396 12613 17094 25226 34188 37839 50452 75678 88291 138743 151356 176582 264873 277486 353164 416229 466681 529746 554972 832458 933362 971201 1059492 1400043 1664916 1866724 1942402 2800086 2913603 3266767 3884804 5133491 5600172 5827206 6533534 9800301 10266982 11654412 13067068 15400473 19600602 20533964 30800946 35934437 39201204 61601892 71868874 107803311 143737748 215606622 431213244