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2433340040 = 235313974943
BaseRepresentation
bin1001000100001001…
…1101001010001000
320021120202111000012
42101002131022020
514440413340130
61041242531052
7114205022555
oct22102351210
96246674005
102433340040
11103961442a
1257ab06a88
132ca18cca1
1419125ba2c
15e395e995
hex9109d288

2433340040 has 64 divisors (see below), whose sum is σ = 5667010560. Its totient is φ = 939375360.

The previous prime is 2433340001. The next prime is 2433340057. The reversal of 2433340040 is 400433342.

It is a happy number.

It is a super-2 number, since 2×24333400402 = 11842287500534403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2433339988 and 2433340015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489809 + ... + 494751.

It is an arithmetic number, because the mean of its divisors is an integer number (88547040).

Almost surely, 22433340040 is an apocalyptic number.

2433340040 is a gapful number since it is divisible by the number (20) 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 2433340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833505280).

2433340040 is an abundant number, since it is smaller than the sum of its proper divisors (3233670520).

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

2433340040 is a wasteful number, since it uses less digits than its factorization.

2433340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 2433340040 is about 49328.8966022959. The cubic root of 2433340040 is about 1345.0371119696.

Adding to 2433340040 its reverse (400433342), we get a palindrome (2833773382).

The spelling of 2433340040 in words is "two billion, four hundred thirty-three million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 397 620 794 1240 1588 1985 3176 3970 4943 7940 9886 12307 15880 19772 24614 24715 39544 49228 49430 61535 98456 98860 123070 153233 197720 246140 306466 492280 612932 766165 1225864 1532330 1962371 3064660 3924742 6129320 7849484 9811855 15698968 19623710 39247420 60833501 78494840 121667002 243334004 304167505 486668008 608335010 1216670020 2433340040