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2134410234 = 231132411109
BaseRepresentation
bin111111100111000…
…1000001111111010
312111202021021101220
41333032020033322
513332402111414
6551443452510
7103615121235
oct17716101772
95452237356
102134410234
119a5901000
124b6987136
13280278348
1416368641c
15c75b2ca9
hex7f3883fa

2134410234 has 64 divisors (see below), whose sum is σ = 4719116160. Its totient is φ = 643526400.

The previous prime is 2134410227. The next prime is 2134410253. The reversal of 2134410234 is 4320144312.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1924072 + ... + 1925180.

It is an arithmetic number, because the mean of its divisors is an integer number (73736190).

Almost surely, 22134410234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134410234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359558080).

2134410234 is an abundant number, since it is smaller than the sum of its proper divisors (2584705926).

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

2134410234 is a wasteful number, since it uses less digits than its factorization.

2134410234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2134410234 is about 46199.6778560197. The cubic root of 2134410234 is about 1287.5357547365.

Adding to 2134410234 its reverse (4320144312), we get a palindrome (6454554546).

The spelling of 2134410234 in words is "two billion, one hundred thirty-four million, four hundred ten thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 241 242 363 482 723 726 1109 1331 1446 2218 2651 2662 3327 3993 5302 6654 7953 7986 12199 15906 24398 29161 36597 58322 73194 87483 134189 174966 267269 268378 320771 402567 534538 641542 801807 805134 962313 1476079 1603614 1924626 2939959 2952158 4428237 5879918 8819877 8856474 17639754 32339549 64679098 97018647 194037294 355735039 711470078 1067205117 2134410234