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431040930 = 235234391423
BaseRepresentation
bin11001101100010…
…010100110100010
31010001002010222220
4121230102212202
51340321302210
6110434411510
713452534045
oct3154224642
91101063886
10431040930
11201347481
12100430b96
136b3bc308
1441364c5c
1527c95c70
hex19b129a2

431040930 has 64 divisors (see below), whose sum is σ = 1082695680. Its totient is φ = 109619136.

The previous prime is 431040917. The next prime is 431040931. The reversal of 431040930 is 39040134.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 431040930.

It is not an unprimeable number, because it can be changed into a prime (431040931) by changing a digit.

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, 302199 + ... + 303621.

It is an arithmetic number, because the mean of its divisors is an integer number (16917120).

Almost surely, 2431040930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431040930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541347840).

431040930 is an abundant number, since it is smaller than the sum of its proper divisors (651654750).

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

431040930 is a wasteful number, since it uses less digits than its factorization.

431040930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 431040930 is about 20761.5252329881. The cubic root of 431040930 is about 755.3927929950.

The spelling of 431040930 in words is "four hundred thirty-one million, forty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 439 690 878 1317 1423 2195 2634 2846 4269 4390 6585 7115 8538 10097 13170 14230 20194 21345 30291 32729 42690 50485 60582 65458 98187 100970 151455 163645 196374 302910 327290 490935 624697 981870 1249394 1874091 3123485 3748182 6246970 9370455 14368031 18740910 28736062 43104093 71840155 86208186 143680310 215520465 431040930