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314023140 = 2232523101751
BaseRepresentation
bin10010101101111…
…001110011100100
3210212220000202200
4102231321303210
51120342220030
651054334500
710532103234
oct2255716344
9725800680
10314023140
11151292262
12891ba430
135009a912
142d9c3cc4
151c87dd60
hex12b79ce4

314023140 has 144 divisors (see below), whose sum is σ = 1005129216. Its totient is φ = 79200000.

The previous prime is 314023097. The next prime is 314023169. The reversal of 314023140 is 41320413.

It is a super-2 number, since 2×3140231402 = 197221064910919200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417765 + ... + 418515.

It is an arithmetic number, because the mean of its divisors is an integer number (6980064).

Almost surely, 2314023140 is an apocalyptic number.

314023140 is a gapful number since it is divisible by the number (30) 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 314023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502564608).

314023140 is an abundant number, since it is smaller than the sum of its proper divisors (691106076).

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

314023140 is a wasteful number, since it uses less digits than its factorization.

314023140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314023140 is about 17720.6980675142. The cubic root of 314023140 is about 679.7051345563.

Adding to 314023140 its reverse (41320413), we get a palindrome (355343553).

The spelling of 314023140 in words is "three hundred fourteen million, twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 101 115 138 180 202 207 230 276 303 345 404 414 460 505 606 690 751 828 909 1010 1035 1212 1380 1502 1515 1818 2020 2070 2253 2323 3004 3030 3636 3755 4140 4506 4545 4646 6060 6759 6969 7510 9012 9090 9292 11265 11615 13518 13938 15020 17273 18180 20907 22530 23230 27036 27876 33795 34546 34845 41814 45060 46460 51819 67590 69092 69690 75851 83628 86365 103638 104535 135180 139380 151702 155457 172730 207276 209070 227553 259095 303404 310914 345460 379255 418140 455106 518190 621828 682659 758510 777285 910212 1036380 1137765 1365318 1517020 1554570 1744573 2275530 2730636 3109140 3413295 3489146 4551060 5233719 6826590 6978292 8722865 10467438 13653180 15701157 17445730 20934876 26168595 31402314 34891460 52337190 62804628 78505785 104674380 157011570 314023140