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2134014320 = 245434767197
BaseRepresentation
bin111111100110010…
…0111100101110000
312111201112011022102
41333030213211300
513332301424240
6551431155532
7103611552044
oct17714474560
95451464272
102134014320
119a56605a9
124b6815ba8
1328016a089
141635c2024
15c7535815
hex7f327970

2134014320 has 160 divisors (see below), whose sum is σ = 5289090048. Its totient is φ = 799755264.

The previous prime is 2134014251. The next prime is 2134014341. The reversal of 2134014320 is 234104312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2134014292 and 2134014301.

It is a congruent number.

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, 10832462 + ... + 10832658.

Almost surely, 22134014320 is an apocalyptic number.

2134014320 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 2134014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644545024).

2134014320 is an abundant number, since it is smaller than the sum of its proper divisors (3155075728).

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

2134014320 is a wasteful number, since it uses less digits than its factorization.

2134014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2134014320 is about 46195.3928438757. The cubic root of 2134014320 is about 1287.4561410265.

Adding to 2134014320 its reverse (234104312), we get a palindrome (2368118632).

The spelling of 2134014320 in words is "two billion, one hundred thirty-four million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 47 67 80 86 94 134 172 188 197 215 235 268 335 344 376 394 430 470 536 670 688 752 788 860 940 985 1072 1340 1576 1720 1880 1970 2021 2680 2881 3149 3152 3440 3760 3940 4042 5360 5762 6298 7880 8084 8471 9259 10105 11524 12596 13199 14405 15745 15760 16168 16942 18518 20210 23048 25192 26398 28810 31490 32336 33884 37036 40420 42355 46096 46295 50384 52796 57620 62980 65995 67768 74072 80840 84710 92590 105592 115240 125960 131990 135407 135536 148144 161680 169420 185180 211184 230480 251920 263980 270814 338840 370360 398137 527960 541628 567557 620353 677035 677680 740720 796274 1055920 1083256 1135114 1240706 1354070 1592548 1990685 2166512 2270228 2481412 2708140 2837785 3101765 3185096 3981370 4540456 4962824 5416280 5675570 6203530 6370192 7962740 9080912 9925648 10832560 11351140 12407060 15925480 22702280 24814120 26675179 31850960 45404560 49628240 53350358 106700716 133375895 213401432 266751790 426802864 533503580 1067007160 2134014320