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3449120220 = 223257132953137
BaseRepresentation
bin1100110110010101…
…0110010111011100
322220101010110110100
43031211112113130
524030433321340
61330130341100
7151321016040
oct31545262734
98811113410
103449120220
11150aa36087
1280312a790
1342c763950
1424a116020
15152c0b830
hexcd9565dc

3449120220 has 576 divisors, whose sum is σ = 13671141120. Its totient is φ = 684343296.

The previous prime is 3449120219. The next prime is 3449120231. The reversal of 3449120220 is 220219443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25175992 + ... + 25176128.

It is an arithmetic number, because the mean of its divisors is an integer number (23734620).

Almost surely, 23449120220 is an apocalyptic number.

3449120220 is a gapful number since it is divisible by the number (30) 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 3449120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835570560).

3449120220 is an abundant number, since it is smaller than the sum of its proper divisors (10222020900).

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

3449120220 is a wasteful number, since it uses less digits than its factorization.

3449120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3449120220 is about 58729.2109601347. The cubic root of 3449120220 is about 1510.9013550444.

Adding to 3449120220 its reverse (220219443), we get a palindrome (3669339663).

The spelling of 3449120220 in words is "three billion, four hundred forty-nine million, one hundred twenty thousand, two hundred twenty".