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3421021600 = 255238910993
BaseRepresentation
bin1100101111101000…
…1010010110100000
322211102020220101201
43023322022112200
524001240142400
61323244210544
7150530126623
oct31372122640
98742226351
103421021600
1114a6094187
127b5839a54
134269a6249
142464bddba
1515050b06a
hexcbe8a5a0

3421021600 has 72 divisors (see below), whose sum is σ = 8373799980. Its totient is φ = 1364766720.

The previous prime is 3421021589. The next prime is 3421021607. The reversal of 3421021600 is 61201243.

It can be written as a sum of positive squares in 6 ways, for example, as 343435024 + 3077586576 = 18532^2 + 55476^2 .

It is not an unprimeable number, because it can be changed into a prime (3421021607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305704 + ... + 316696.

Almost surely, 23421021600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186899990).

3421021600 is an abundant number, since it is smaller than the sum of its proper divisors (4952778380).

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

3421021600 is a wasteful number, since it uses less digits than its factorization.

3421021600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402 (or 11389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3421021600 is about 58489.4999123774. The cubic root of 3421021600 is about 1506.7872572530.

Adding to 3421021600 its reverse (61201243), we get a palindrome (3482222843).

The spelling of 3421021600 in words is "three billion, four hundred twenty-one million, twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 389 400 778 800 1556 1945 3112 3890 6224 7780 9725 10993 12448 15560 19450 21986 31120 38900 43972 54965 62240 77800 87944 109930 155600 175888 219860 274825 311200 351776 439720 549650 879440 1099300 1758880 2198600 4276277 4397200 8552554 8794400 17105108 21381385 34210216 42762770 68420432 85525540 106906925 136840864 171051080 213813850 342102160 427627700 684204320 855255400 1710510800 3421021600