Search a number
-
+
202312434324 = 2237111326167317
BaseRepresentation
bin1011110001101011000…
…0101100001010010100
3201100012111112112001010
42330122300230022110
511303313440344244
6232535133332220
720421330214020
oct2743260541224
9640174475033
10202312434324
1178889105350
1233262037070
1316102428c00
149b13269380
1553e149eeb9
hex2f1ac2c294

202312434324 has 576 divisors, whose sum is σ = 659489789952. Its totient is φ = 46850918400.

The previous prime is 202312434307. The next prime is 202312434343. The reversal of 202312434324 is 423434213202.

It is a junction number, because it is equal to n+sod(n) for n = 202312434291 and 202312434300.

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 191 ways as a sum of consecutive naturals, for example, 638209414 + ... + 638209730.

It is an arithmetic number, because the mean of its divisors is an integer number (1144947552).

Almost surely, 2202312434324 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 202312434324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329744894976).

202312434324 is an abundant number, since it is smaller than the sum of its proper divisors (457177355628).

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

202312434324 is a wasteful number, since it uses less digits than its factorization.

202312434324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 202312434324 its reverse (423434213202), we get a palindrome (625746647526).

It can be divided in two parts, 202312 and 434324, that added together give a palindrome (636636).

The spelling of 202312434324 in words is "two hundred two billion, three hundred twelve million, four hundred thirty-four thousand, three hundred twenty-four".