Search a number
-
+
2334043000 = 23536183461
BaseRepresentation
bin1000101100011110…
…1010101101111000
320000122220200002001
42023013222231320
514240003334000
61023334350344
7111561016042
oct21307525570
96018820061
102334043000
11a98563063
125517bb3b4
132b2734443
14181db0a92
15d9d9846a
hex8b1eab78

2334043000 has 128 divisors (see below), whose sum is σ = 5630264640. Its totient is φ = 905280000.

The previous prime is 2334042961. The next prime is 2334043001. The reversal of 2334043000 is 3404332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334043001) 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, 5062770 + ... + 5063230.

Almost surely, 22334043000 is an apocalyptic number.

2334043000 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 2334043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815132320).

2334043000 is an abundant number, since it is smaller than the sum of its proper divisors (3296221640).

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

2334043000 is a wasteful number, since it uses less digits than its factorization.

2334043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 2334043000 is about 48311.9343433897. The cubic root of 2334043000 is about 1326.4868558718.

Adding to 2334043000 its reverse (3404332), we get a palindrome (2337447332).

The spelling of 2334043000 in words is "two billion, three hundred thirty-four million, forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 83 100 122 125 166 200 244 250 305 332 415 461 488 500 610 664 830 922 1000 1220 1525 1660 1844 2075 2305 2440 3050 3320 3688 4150 4610 5063 6100 7625 8300 9220 10126 10375 11525 12200 15250 16600 18440 20252 20750 23050 25315 28121 30500 38263 40504 41500 46100 50630 56242 57625 61000 76526 83000 92200 101260 112484 115250 126575 140605 153052 191315 202520 224968 230500 253150 281210 306104 382630 461000 506300 562420 632875 703025 765260 956575 1012600 1124840 1265750 1406050 1530520 1913150 2334043 2531500 2812100 3515125 3826300 4668086 4782875 5063000 5624200 7030250 7652600 9336172 9565750 11670215 14060500 18672344 19131500 23340430 28121000 38263000 46680860 58351075 93361720 116702150 233404300 291755375 466808600 583510750 1167021500 2334043000