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1834101414 = 23397487719
BaseRepresentation
bin110110101010010…
…0010101010100110
311201211012000011000
41231110202222212
512224012221124
6501555054130
763310414305
oct15524425246
94654160130
101834101414
118613365a2
124322a1346
13232c9cb12
1413583243c
15ab0426c9
hex6d522aa6

1834101414 has 64 divisors (see below), whose sum is σ = 4131993600. Its totient is φ = 602982144.

The previous prime is 1834101413. The next prime is 1834101431. The reversal of 1834101414 is 4141014381.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1834101413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2550547 + ... + 2551265.

It is an arithmetic number, because the mean of its divisors is an integer number (64562400).

Almost surely, 21834101414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1834101414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065996800).

1834101414 is an abundant number, since it is smaller than the sum of its proper divisors (2297892186).

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

1834101414 is a wasteful number, since it uses less digits than its factorization.

1834101414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1834101414 is about 42826.4102394772. The cubic root of 1834101414 is about 1224.0743058504.

Adding to 1834101414 its reverse (4141014381), we get a palindrome (5975115795).

The spelling of 1834101414 in words is "one billion, eight hundred thirty-four million, one hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 487 582 719 873 974 1438 1461 1746 2157 2619 2922 4314 4383 5238 6471 8766 12942 13149 19413 26298 38826 47239 69743 94478 139486 141717 209229 283434 350153 418458 425151 627687 700306 850302 1050459 1255374 1275453 1883061 2100918 2550906 3151377 3766122 6302754 9454131 18908262 33964841 67929682 101894523 203789046 305683569 611367138 917050707 1834101414