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2034040340 = 225415942043
BaseRepresentation
bin111100100111100…
…1111111000010100
312020202101221210102
41321033033320110
513131203242330
6533500313232
7101256025523
oct17117177024
95222357712
102034040340
11954187682
12489242818
13265535387
141541da4ba
15bd888945
hex793cfe14

2034040340 has 48 divisors (see below), whose sum is σ = 4449936960. Its totient is φ = 780299520.

The previous prime is 2034040339. The next prime is 2034040343. The reversal of 2034040340 is 430404302.

It is a happy number.

It is a super-3 number, since 3×20340403403 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034040343) 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, 27359 + ... + 69401.

It is an arithmetic number, because the mean of its divisors is an integer number (92707020).

Almost surely, 22034040340 is an apocalyptic number.

2034040340 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 2034040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224968480).

2034040340 is an abundant number, since it is smaller than the sum of its proper divisors (2415896620).

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

2034040340 is a wasteful number, since it uses less digits than its factorization.

2034040340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42152 (or 42150 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2034040340 is about 45100.3363623820. The cubic root of 2034040340 is about 1267.0288990177.

Adding to 2034040340 its reverse (430404302), we get a palindrome (2464444642).

The spelling of 2034040340 in words is "two billion, thirty-four million, forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 59 82 118 164 205 236 295 410 590 820 1180 2419 4838 9676 12095 24190 42043 48380 84086 168172 210215 420430 840860 1723763 2480537 3447526 4961074 6895052 8618815 9922148 12402685 17237630 24805370 34475260 49610740 101702017 203404034 406808068 508510085 1017020170 2034040340