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2314120340 = 2257127157829
BaseRepresentation
bin1000100111101110…
…1010110010010100
312222021102111022202
42021323222302110
514214403322330
61021343344032
7111226461350
oct21173526224
95867374282
102314120340
11a88295954
12546bb2018
132ab57a29c
1417d4a6460
15d8260445
hex89eeac94

2314120340 has 96 divisors (see below), whose sum is σ = 5640069120. Its totient is φ = 781208064.

The previous prime is 2314120331. The next prime is 2314120343. The reversal of 2314120340 is 430214132.

2314120340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314120343) 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, 2791046 + ... + 2791874.

It is an arithmetic number, because the mean of its divisors is an integer number (58750720).

Almost surely, 22314120340 is an apocalyptic number.

2314120340 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 2314120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820034560).

2314120340 is an abundant number, since it is smaller than the sum of its proper divisors (3325948780).

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

2314120340 is a wasteful number, since it uses less digits than its factorization.

2314120340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2314120340 is about 48105.3046970914. The cubic root of 2314120340 is about 1322.7019075356.

Adding to 2314120340 its reverse (430214132), we get a palindrome (2744334472).

The spelling of 2314120340 in words is "two billion, three hundred fourteen million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 157 254 314 508 628 635 785 829 889 1099 1270 1570 1658 1778 2198 2540 3140 3316 3556 4145 4396 4445 5495 5803 8290 8890 10990 11606 16580 17780 19939 21980 23212 29015 39878 58030 79756 99695 105283 116060 130153 139573 199390 210566 260306 279146 398780 421132 520612 526415 558292 650765 697865 736981 911071 1052830 1301530 1395730 1473962 1822142 2105660 2603060 2791460 2947924 3644284 3684905 4555355 7369810 9110710 14739620 16529431 18221420 33058862 66117724 82647155 115706017 165294310 231412034 330588620 462824068 578530085 1157060170 2314120340