Search a number
-
+
2234434320 = 243253103381
BaseRepresentation
bin1000010100101110…
…1100001100010000
312202201111000122200
42011023230030100
514034003344240
61005415403200
7106241243526
oct20513541420
95681430580
102234434320
11a47309638
12524383500
13297bc9ab1
14172a82316
15d126e930
hex852ec310

2234434320 has 60 divisors (see below), whose sum is σ = 7503977676. Its totient is φ = 595848960.

The previous prime is 2234434229. The next prime is 2234434357. The reversal of 2234434320 is 234344322.

2234434320 is a `hidden beast` number, since 223 + 4 + 4 + 3 + 432 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 245987856 + 1988446464 = 15684^2 + 44592^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1550971 + ... + 1552410.

Almost surely, 22234434320 is an apocalyptic number.

2234434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234434320 is an abundant number, since it is smaller than the sum of its proper divisors (5269543356).

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

2234434320 is a wasteful number, since it uses less digits than its factorization.

2234434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103400 (or 3103391 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 2234434320 is about 47269.8034690224. The cubic root of 2234434320 is about 1307.3419521924.

Adding to 2234434320 its reverse (234344322), we get a palindrome (2468778642).

The spelling of 2234434320 in words is "two billion, two hundred thirty-four million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3103381 6206762 9310143 12413524 15516905 18620286 24827048 27930429 31033810 37240572 46550715 49654096 55860858 62067620 74481144 93101430 111721716 124135240 139652145 148962288 186202860 223443432 248270480 279304290 372405720 446886864 558608580 744811440 1117217160 2234434320