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3442010220 = 22335114712329
BaseRepresentation
bin1100110100101000…
…1110100001101100
322212212202020101000
43031022032201230
524022123311340
61325314120300
7151203414135
oct31512164154
98785666330
103442010220
111506a1a250
12800880090
1342b14464c
142491c4c8c
151522a4d30
hexcd28e86c

3442010220 has 192 divisors, whose sum is σ = 11931494400. Its totient is φ = 816606720.

The previous prime is 3442010219. The next prime is 3442010233. The reversal of 3442010220 is 220102443.

3442010220 is a `hidden beast` number, since 3 + 442 + 0 + 1 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3442010193 and 3442010202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273016 + ... + 285344.

It is an arithmetic number, because the mean of its divisors is an integer number (62143200).

Almost surely, 23442010220 is an apocalyptic number.

3442010220 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 3442010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965747200).

3442010220 is an abundant number, since it is smaller than the sum of its proper divisors (8489484180).

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

3442010220 is a wasteful number, since it uses less digits than its factorization.

3442010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12405 (or 12397 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3442010220 is about 58668.6476748868. The cubic root of 3442010220 is about 1509.8624525676.

Adding to 3442010220 its reverse (220102443), we get a palindrome (3662112663).

The spelling of 3442010220 in words is "three billion, four hundred forty-two million, ten thousand, two hundred twenty".