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3301344020 = 22513375133
BaseRepresentation
bin1100010011000110…
…1000001100010100
322112002001122121202
43010301220030110
523230121002040
61303331132032
7144544650452
oct30461501424
98462048552
103301344020
111444582697
12781744018
13407c63000
142346499d2
15144c6b015
hexc4c68314

3301344020 has 48 divisors (see below), whose sum is σ = 7510394640. Its totient is φ = 1218941568.

The previous prime is 3301343957. The next prime is 3301344029. The reversal of 3301344020 is 204431033.

It can be written as a sum of positive squares in 8 ways, for example, as 1977403024 + 1323940996 = 44468^2 + 36386^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3301343983 and 3301344001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301344029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6374 + ... + 81506.

It is an arithmetic number, because the mean of its divisors is an integer number (156466555).

Almost surely, 23301344020 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 3301344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755197320).

3301344020 is an abundant number, since it is smaller than the sum of its proper divisors (4209050620).

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

3301344020 is a wasteful number, since it uses less digits than its factorization.

3301344020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75181 (or 75153 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3301344020 is about 57457.3234670742. The cubic root of 3301344020 is about 1489.0076451607.

Adding to 3301344020 its reverse (204431033), we get a palindrome (3505775053).

The spelling of 3301344020 in words is "three billion, three hundred one million, three hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 2197 3380 4394 8788 10985 21970 43940 75133 150266 300532 375665 751330 976729 1502660 1953458 3906916 4883645 9767290 12697477 19534580 25394954 50789908 63487385 126974770 165067201 253949540 330134402 660268804 825336005 1650672010 3301344020