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3133304420 = 2252952110369
BaseRepresentation
bin1011101011000010…
…0110111001100100
322002100212100121212
42322300212321210
522404111220140
61234525330552
7140434435211
oct27260467144
98070770555
103133304420
111368739a94
12735406a58
133ac1b90ac
1421a1c6b08
15135126765
hexbac26e64

3133304420 has 48 divisors (see below), whose sum is σ = 6820556400. Its totient is φ = 1207664640.

The previous prime is 3133304407. The next prime is 3133304423. The reversal of 3133304420 is 244033313.

3133304420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 576384064 + 2556920356 = 24008^2 + 50566^2 .

It is not an unprimeable number, because it can be changed into a prime (3133304423) 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, 296996 + ... + 307364.

It is an arithmetic number, because the mean of its divisors is an integer number (142094925).

Almost surely, 23133304420 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 3133304420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410278200).

3133304420 is an abundant number, since it is smaller than the sum of its proper divisors (3687251980).

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

3133304420 is a wasteful number, since it uses less digits than its factorization.

3133304420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10928 (or 10926 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 3133304420 is about 55975.9271473015. The cubic root of 3133304420 is about 1463.3027781055.

Adding to 3133304420 its reverse (244033313), we get a palindrome (3377337733).

The spelling of 3133304420 in words is "three billion, one hundred thirty-three million, three hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 521 580 1042 2084 2605 5210 10369 10420 15109 20738 30218 41476 51845 60436 75545 103690 151090 207380 300701 302180 601402 1202804 1503505 3007010 5402249 6014020 10804498 21608996 27011245 54022490 108044980 156665221 313330442 626660884 783326105 1566652210 3133304420