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3401221200 = 2435213263829
BaseRepresentation
bin1100101010111010…
…1000010001010000
322210000222221100120
43022232220101100
523431203034300
61321255550240
7150166621536
oct31256502120
98700887316
103401221200
11149599a913
127ab08b380
13422862930
14243a08156
1514d8e93a0
hexcaba8450

3401221200 has 240 divisors, whose sum is σ = 11792161920. Its totient is φ = 833034240.

The previous prime is 3401221177. The next prime is 3401221211. The reversal of 3401221200 is 21221043.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3401221200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4102386 + ... + 4103214.

It is an arithmetic number, because the mean of its divisors is an integer number (49134008).

Almost surely, 23401221200 is an apocalyptic number.

3401221200 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 3401221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896080960).

3401221200 is an abundant number, since it is smaller than the sum of its proper divisors (8390940720).

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

3401221200 is a wasteful number, since it uses less digits than its factorization.

3401221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3401221200 is about 58319.9897119332. The cubic root of 3401221200 is about 1503.8746052277.

Adding to 3401221200 its reverse (21221043), we get a palindrome (3422442243).

The spelling of 3401221200 in words is "three billion, four hundred one million, two hundred twenty-one thousand, two hundred".