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2130034320 = 24345328709
BaseRepresentation
bin111111011110101…
…1011111010010000
312111110000221210000
41332331123322100
513330242044240
6551210010000
7103532664411
oct17675337220
95443027700
102130034320
119a3392347
124b5416900
1327c3a564b
14162c67808
15c6eeb430
hex7ef5be90

2130034320 has 100 divisors (see below), whose sum is σ = 7397947260. Its totient is φ = 568007424.

The previous prime is 2130034303. The next prime is 2130034339. The reversal of 2130034320 is 234300312.

2130034320 is a `hidden beast` number, since 2 + 1 + 300 + 343 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1077940224 + 1052094096 = 32832^2 + 32436^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2130034293 and 2130034302.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157875 + ... + 170834.

Almost surely, 22130034320 is an apocalyptic number.

2130034320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130034320 is an abundant number, since it is smaller than the sum of its proper divisors (5267912940).

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

2130034320 is a wasteful number, since it uses less digits than its factorization.

2130034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328734 (or 328719 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2130034320 is about 46152.2948508522. The cubic root of 2130034320 is about 1286.6552616360.

Adding to 2130034320 its reverse (234300312), we get a palindrome (2364334632).

The spelling of 2130034320 in words is "two billion, one hundred thirty million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 328709 657418 986127 1314836 1643545 1972254 2629672 2958381 3287090 3944508 4930635 5259344 5916762 6574180 7889016 8875143 9861270 11833524 13148360 14791905 15778032 17750286 19722540 23667048 26296720 26625429 29583810 35500572 39445080 44375715 47334096 53250858 59167620 71001144 78890160 88751430 106501716 118335240 133127145 142002288 177502860 213003432 236670480 266254290 355005720 426006864 532508580 710011440 1065017160 2130034320