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4354225440 = 2535191573041
BaseRepresentation
bin1000000111000100…
…00011010100100000
3102020110020120101220
410003202003110200
532404140203230
62000022055040
7212621206545
oct40342032440
912213216356
104354225440
111934935024
12a1627a480
13545126c76
142d4400bcc
151a73e5d10
hex103883520

4354225440 has 192 divisors, whose sum is σ = 14534432640. Its totient is φ = 1092648960.

The previous prime is 4354225411. The next prime is 4354225489. The reversal of 4354225440 is 445224534.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430320 + ... + 1433360.

It is an arithmetic number, because the mean of its divisors is an integer number (75700170).

Almost surely, 24354225440 is an apocalyptic number.

4354225440 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 4354225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267216320).

4354225440 is an abundant number, since it is smaller than the sum of its proper divisors (10180207200).

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

4354225440 is a wasteful number, since it uses less digits than its factorization.

4354225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

The square root of 4354225440 is about 65986.5549941804. The cubic root of 4354225440 is about 1632.9402861916.

Adding to 4354225440 its reverse (445224534), we get a palindrome (4799449974).

The spelling of 4354225440 in words is "four billion, three hundred fifty-four million, two hundred twenty-five thousand, four hundred forty".