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2134020340 = 2251943612141
BaseRepresentation
bin111111100110010…
…1001000011110100
312111201112110120101
41333030221003310
513332302122330
6551431243444
7103611605434
oct17714510364
95451473511
102134020340
119a5665081
124b6819584
1328016ca3a
141635c42c4
15c75374ca
hex7f3290f4

2134020340 has 96 divisors (see below), whose sum is σ = 4908435840. Its totient is φ = 776563200.

The previous prime is 2134020313. The next prime is 2134020341. The reversal of 2134020340 is 430204312.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134020341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995670 + ... + 997810.

It is an arithmetic number, because the mean of its divisors is an integer number (51129540).

Almost surely, 22134020340 is an apocalyptic number.

2134020340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454217920).

2134020340 is an abundant number, since it is smaller than the sum of its proper divisors (2774415500).

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

2134020340 is a wasteful number, since it uses less digits than its factorization.

2134020340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2134020340 is about 46195.4580018426. The cubic root of 2134020340 is about 1287.4573516523.

Adding to 2134020340 its reverse (430204312), we get a palindrome (2564224652).

The spelling of 2134020340 in words is "two billion, one hundred thirty-four million, twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 43 61 76 86 95 122 172 190 215 244 305 380 430 610 817 860 1159 1220 1634 2141 2318 2623 3268 4085 4282 4636 5246 5795 8170 8564 10492 10705 11590 13115 16340 21410 23180 26230 40679 42820 49837 52460 81358 92063 99674 130601 162716 184126 199348 203395 249185 261202 368252 406790 460315 498370 522404 653005 813580 920630 996740 1306010 1749197 1841260 2481419 2612020 3498394 4962838 5615843 6996788 8745985 9925676 11231686 12407095 17491970 22463372 24814190 28079215 34983940 49628380 56158430 106701017 112316860 213402034 426804068 533505085 1067010170 2134020340