Search a number
-
+
2034302340 = 2235719992423
BaseRepresentation
bin111100101000000…
…1111110110000100
312020202220021012010
41321100033312010
513131240133330
6533510054220
7101261166420
oct17120176604
95222807163
102034302340
11954346504
1248934a370
132655c76c5
14154267b80
15bd8db3b0
hex7940fd84

2034302340 has 96 divisors (see below), whose sum is σ = 6515712000. Its totient is φ = 464558976.

The previous prime is 2034302293. The next prime is 2034302357. The reversal of 2034302340 is 432034302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838369 + ... + 840791.

It is an arithmetic number, because the mean of its divisors is an integer number (67872000).

Almost surely, 22034302340 is an apocalyptic number.

2034302340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034302340 is an abundant number, since it is smaller than the sum of its proper divisors (4481409660).

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

2034302340 is a wasteful number, since it uses less digits than its factorization.

2034302340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2034302340 is about 45103.2409035094. The cubic root of 2034302340 is about 1267.0832976962.

Adding to 2034302340 its reverse (432034302), we get a palindrome (2466336642).

The spelling of 2034302340 in words is "two billion, thirty-four million, three hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1999 2423 3998 4846 5997 7269 7996 9692 9995 11994 12115 13993 14538 16961 19990 23988 24230 27986 29076 29985 33922 36345 39980 41979 48460 50883 55972 59970 67844 69965 72690 83958 84805 101766 119940 139930 145380 167916 169610 203532 209895 254415 279860 339220 419790 508830 839580 1017660 4843577 9687154 14530731 19374308 24217885 29061462 33905039 48435770 58122924 67810078 72653655 96871540 101715117 135620156 145307310 169525195 203430234 290614620 339050390 406860468 508575585 678100780 1017151170 2034302340