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2034140424 = 233232533023
BaseRepresentation
bin111100100111110…
…1000010100001000
312020202121001002020
41321033220110020
513131214443144
6533502404440
7101256623361
oct17117502410
95222531066
102034140424
11954245898
12489290720
1326556bab4
14154224b68
15bd8a8419
hex793e8508

2034140424 has 96 divisors (see below), whose sum is σ = 5418161280. Its totient is φ = 636118912.

The previous prime is 2034140419. The next prime is 2034140429. The reversal of 2034140424 is 4240414302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2034140419) and next prime (2034140429).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2034140394 and 2034140403.

It is not an unprimeable number, because it can be changed into a prime (2034140429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671377 + ... + 674399.

It is an arithmetic number, because the mean of its divisors is an integer number (56439180).

Almost surely, 22034140424 is an apocalyptic number.

2034140424 is a gapful number since it is divisible by the number (24) 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 2034140424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709080640).

2034140424 is an abundant number, since it is smaller than the sum of its proper divisors (3384020856).

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

2034140424 is a wasteful number, since it uses less digits than its factorization.

2034140424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2034140424 is about 45101.4459191720. The cubic root of 2034140424 is about 1267.0496798642.

Adding to 2034140424 its reverse (4240414302), we get a palindrome (6274554726).

The spelling of 2034140424 in words is "two billion, thirty-four million, one hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 92 106 138 159 184 212 276 318 424 529 552 636 1058 1219 1272 1587 2116 2438 3023 3174 3657 4232 4876 6046 6348 7314 9069 9752 12092 12696 14628 18138 24184 28037 29256 36276 56074 69529 72552 84111 112148 139058 160219 168222 208587 224296 278116 320438 336444 417174 480657 556232 640876 672888 834348 961314 1281752 1599167 1668696 1922628 3198334 3685037 3845256 4797501 6396668 7370074 9595002 11055111 12793336 14740148 19190004 22110222 29480296 38380008 44220444 84755851 88440888 169511702 254267553 339023404 508535106 678046808 1017070212 2034140424