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2324002000 = 245317292357
BaseRepresentation
bin1000101010000101…
…0111010011010000
312222222000112102011
42022201113103100
514224421031000
61022335232304
7111406456015
oct21241272320
95888015364
102324002000
11a92925111
1254a378694
132b062a018
1418091970c
15d90632ba
hex8a8574d0

2324002000 has 160 divisors (see below), whose sum is σ = 6157775520. Its totient is φ = 844390400.

The previous prime is 2324001991. The next prime is 2324002007. The reversal of 2324002000 is 2004232.

It can be written as a sum of positive squares in 16 ways, for example, as 1668232336 + 655769664 = 40844^2 + 25608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984822 + ... + 987178.

It is an arithmetic number, because the mean of its divisors is an integer number (38486097).

Almost surely, 22324002000 is an apocalyptic number.

2324002000 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 2324002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078887760).

2324002000 is an abundant number, since it is smaller than the sum of its proper divisors (3833773520).

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

2324002000 is a wasteful number, since it uses less digits than its factorization.

2324002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2324002000 is about 48207.9039162667. The cubic root of 2324002000 is about 1324.5819495199.

Adding to 2324002000 its reverse (2004232), we get a palindrome (2326006232).

The spelling of 2324002000 in words is "two billion, three hundred twenty-four million, two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 29 34 40 50 58 68 80 85 100 116 125 136 145 170 200 232 250 272 290 340 400 425 464 493 500 580 680 725 850 986 1000 1160 1360 1450 1700 1972 2000 2125 2320 2357 2465 2900 3400 3625 3944 4250 4714 4930 5800 6800 7250 7888 8500 9428 9860 11600 11785 12325 14500 17000 18856 19720 23570 24650 29000 34000 37712 39440 40069 47140 49300 58000 58925 61625 68353 80138 94280 98600 117850 123250 136706 160276 188560 197200 200345 235700 246500 273412 294625 320552 341765 400690 471400 493000 546824 589250 641104 683530 801380 942800 986000 1001725 1093648 1162001 1178500 1367060 1602760 1708825 2003450 2324002 2357000 2734120 3205520 3417650 4006900 4648004 4714000 5008625 5468240 5810005 6835300 8013800 8544125 9296008 10017250 11620010 13670600 16027600 17088250 18592016 20034500 23240020 27341200 29050025 34176500 40069000 46480040 58100050 68353000 80138000 92960080 116200100 136706000 145250125 232400200 290500250 464800400 581000500 1162001000 2324002000