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4325322240 = 2935517409
BaseRepresentation
bin1000000011100111…
…10010111000000000
3102011102212010200000
410001303302320000
532324240302430
61553110400000
7212120426631
oct40163627000
912142763600
104325322240
11191a593688
12a08660000
1353c147295
142d0639888
151a4ad6e60
hex101cf2e00

4325322240 has 480 divisors, whose sum is σ = 16488632160. Its totient is φ = 1082916864.

The previous prime is 4325322233. The next prime is 4325322259. The reversal of 4325322240 is 422235234.

It is a happy number.

4325322240 is a `hidden beast` number, since 432 + 5 + 3 + 2 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 10575156 + ... + 10575564.

It is an arithmetic number, because the mean of its divisors is an integer number (34351317).

Almost surely, 24325322240 is an apocalyptic number.

4325322240 is a gapful number since it is divisible by the number (40) 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 4325322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8244316080).

4325322240 is an abundant number, since it is smaller than the sum of its proper divisors (12163309920).

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

4325322240 is an equidigital number, since it uses as much as digits as its factorization.

4325322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4325322240 is about 65767.1820895498. The cubic root of 4325322240 is about 1629.3191279783.

Adding to 4325322240 its reverse (422235234), we get a palindrome (4747557474).

The spelling of 4325322240 in words is "four billion, three hundred twenty-five million, three hundred twenty-two thousand, two hundred forty".