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2040301332 = 2233311135393
BaseRepresentation
bin111100110011100…
…1000011100010100
312021012012001021000
41321213020130110
513134304120312
6534242423300
7101363163246
oct17147103424
95235161230
102040301332
11957773653
1248b361b30
132669180c4
14154d8a096
15be1c3adc
hex799c8714

2040301332 has 96 divisors (see below), whose sum is σ = 5509647360. Its totient is φ = 652216320.

The previous prime is 2040301297. The next prime is 2040301433. The reversal of 2040301332 is 2331030402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375628 + ... + 381020.

It is an arithmetic number, because the mean of its divisors is an integer number (57392160).

Almost surely, 22040301332 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 2040301332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754823680).

2040301332 is an abundant number, since it is smaller than the sum of its proper divisors (3469346028).

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

2040301332 is a wasteful number, since it uses less digits than its factorization.

2040301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2040301332 is about 45169.6948406783. The cubic root of 2040301332 is about 1268.3275838966.

Adding to 2040301332 its reverse (2331030402), we get a palindrome (4371331734).

The spelling of 2040301332 in words is "two billion, forty million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 113 124 186 226 279 339 372 452 558 678 837 1017 1116 1356 1674 2034 3051 3348 3503 4068 5393 6102 7006 10509 10786 12204 14012 16179 21018 21572 31527 32358 42036 48537 63054 64716 94581 97074 126108 145611 167183 189162 194148 291222 334366 378324 501549 582444 609409 668732 1003098 1218818 1504647 1828227 2006196 2437636 3009294 3656454 4513941 5484681 6018588 7312908 9027882 10969362 16454043 18055764 18891679 21938724 32908086 37783358 56675037 65816172 75566716 113350074 170025111 226700148 340050222 510075333 680100444 1020150666 2040301332