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2433381020 = 2257171022429
BaseRepresentation
bin1001000100001010…
…0111001010011100
320021120211120012222
42101002213022130
514440421143040
61041243444512
7114205253210
oct22102471234
96246746188
102433381020
1110396421a4
1257ab26738
132ca1a5835
1419126c940
15e396bbb5
hex910a729c

2433381020 has 48 divisors (see below), whose sum is σ = 6183656640. Its totient is φ = 785224704.

The previous prime is 2433381017. The next prime is 2433381029. The reversal of 2433381020 is 201833342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2433381029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 508835 + ... + 513594.

It is an arithmetic number, because the mean of its divisors is an integer number (128826180).

Almost surely, 22433381020 is an apocalyptic number.

2433381020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2433381020 is an abundant number, since it is smaller than the sum of its proper divisors (3750275620).

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

2433381020 is a wasteful number, since it uses less digits than its factorization.

2433381020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022462 (or 1022460 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 2433381020 is about 49329.3119757412. The cubic root of 2433381020 is about 1345.0446625394.

The spelling of 2433381020 in words is "two billion, four hundred thirty-three million, three hundred eighty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 1022429 2044858 4089716 5112145 7157003 10224290 14314006 17381293 20448580 28628012 34762586 35785015 69525172 71570030 86906465 121669051 143140060 173812930 243338102 347625860 486676204 608345255 1216690510 2433381020