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2302142340 = 2235714391231
BaseRepresentation
bin1000100100110111…
…1110011110000100
312221102212221121010
42021031332132010
514203322023330
61020234522220
7111022613151
oct21115763604
95842787533
102302142340
11a81554683
12542b96370
132a8c45304
1417ba69228
15d71963b0
hex8937e784

2302142340 has 96 divisors (see below), whose sum is σ = 6556999680. Its totient is φ = 603388800.

The previous prime is 2302142321. The next prime is 2302142341. The reversal of 2302142340 is 432412032.

2302142340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2302142341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1869525 + ... + 1870755.

It is an arithmetic number, because the mean of its divisors is an integer number (68302080).

Almost surely, 22302142340 is an apocalyptic number.

2302142340 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 2302142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278499840).

2302142340 is an abundant number, since it is smaller than the sum of its proper divisors (4254857340).

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

2302142340 is a wasteful number, since it uses less digits than its factorization.

2302142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2302142340 is about 47980.6454729404. The cubic root of 2302142340 is about 1320.4158354699.

Adding to 2302142340 its reverse (432412032), we get a palindrome (2734554372).

The spelling of 2302142340 in words is "two billion, three hundred two million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 439 710 852 878 1065 1231 1317 1420 1756 2130 2195 2462 2634 3693 4260 4390 4924 5268 6155 6585 7386 8780 12310 13170 14772 18465 24620 26340 31169 36930 62338 73860 87401 93507 124676 155845 174802 187014 262203 311690 349604 374028 437005 467535 524406 540409 623380 874010 935070 1048812 1080818 1311015 1621227 1748020 1870140 2161636 2622030 2702045 3242454 5244060 5404090 6484908 8106135 10808180 16212270 32424540 38369039 76738078 115107117 153476156 191845195 230214234 383690390 460428468 575535585 767380780 1151071170 2302142340