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2134451934 = 2322353891093
BaseRepresentation
bin111111100111001…
…0010011011011110
312111202100101121100
41333032102123132
513332404430214
6551444413530
7103615353636
oct17716223336
95452311540
102134451934
119a592a36a
124b69a72a6
13280291314
141636976c6
15c75c0309
hex7f3926de

2134451934 has 96 divisors (see below), whose sum is σ = 4976562240. Its totient is φ = 659602944.

The previous prime is 2134451903. The next prime is 2134451951. The reversal of 2134451934 is 4391544312.

2134451934 is a `hidden beast` number, since 2 + 134 + 4 + 519 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1952292 + ... + 1953384.

It is an arithmetic number, because the mean of its divisors is an integer number (51839190).

Almost surely, 22134451934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134451934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488281120).

2134451934 is an abundant number, since it is smaller than the sum of its proper divisors (2842110306).

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

2134451934 is a wasteful number, since it uses less digits than its factorization.

2134451934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1263 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2134451934 is about 46200.1291556636. The cubic root of 2134451934 is about 1287.5441395494.

The spelling of 2134451934 in words is "two billion, one hundred thirty-four million, four hundred fifty-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 53 69 89 106 138 159 178 207 267 318 414 477 534 801 954 1093 1219 1602 2047 2186 2438 3279 3657 4094 4717 6141 6558 7314 9434 9837 10971 12282 14151 18423 19674 21942 25139 28302 36846 42453 50278 57929 75417 84906 97277 108491 115858 150834 173787 194554 216982 226251 291831 325473 347574 452502 521361 583662 650946 875493 976419 1042722 1332367 1750986 1952838 2237371 2664734 3997101 4474742 5155681 6712113 7994202 10311362 11991303 13424226 15467043 20136339 23982606 30934086 40272678 46401129 92802258 118580663 237161326 355741989 711483978 1067225967 2134451934