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2134417940 = 2252317232693
BaseRepresentation
bin111111100111000…
…1010001000010100
312111202021122222022
41333032022020110
513332402333230
6551443552312
7103615152554
oct17716121024
95452248868
102134417940
119a5906876
124b698b698
1328027b9c5
14163689164
15c75b51e5
hex7f38a214

2134417940 has 48 divisors (see below), whose sum is σ = 4681611648. Its totient is φ = 815869824.

The previous prime is 2134417939. The next prime is 2134417969. The reversal of 2134417940 is 497144312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2134417940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791234 + ... + 793926.

It is an arithmetic number, because the mean of its divisors is an integer number (97533576).

Almost surely, 22134417940 is an apocalyptic number.

2134417940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134417940 is an abundant number, since it is smaller than the sum of its proper divisors (2547193708).

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

2134417940 is a wasteful number, since it uses less digits than its factorization.

2134417940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 2134417940 is about 46199.7612547944. The cubic root of 2134417940 is about 1287.5373042259.

The spelling of 2134417940 in words is "two billion, one hundred thirty-four million, four hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 1723 2693 3446 5386 6892 8615 10772 13465 17230 26930 34460 39629 53860 61939 79258 123878 158516 198145 247756 309695 396290 619390 792580 1238780 4640039 9280078 18560156 23200195 46400390 92800780 106720897 213441794 426883588 533604485 1067208970 2134417940