Search a number
-
+
1342214340 = 2235198913229
BaseRepresentation
bin101000000000000…
…1001000011000100
310110112121112221020
41100000021003010
510222101324330
6341104151140
745155430225
oct12000110304
93415545836
101342214340
11629710555
123156084b0
131850c868c
14ca38d24c
157cc7d210
hex500090c4

1342214340 has 96 divisors (see below), whose sum is σ = 4000752000. Its totient is φ = 335250432.

The previous prime is 1342214309. The next prime is 1342214383. The reversal of 1342214340 is 434122431.

It is a self number, because there is not a number n which added to its sum of digits gives 1342214340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94846 + ... + 108074.

It is an arithmetic number, because the mean of its divisors is an integer number (41674500).

Almost surely, 21342214340 is an apocalyptic number.

1342214340 is a gapful number since it is divisible by the number (10) 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 1342214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000376000).

1342214340 is an abundant number, since it is smaller than the sum of its proper divisors (2658537660).

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

1342214340 is a wasteful number, since it uses less digits than its factorization.

1342214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13349 (or 13347 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1342214340 is about 36636.2435301438. The cubic root of 1342214340 is about 1103.0807138098.

Adding to 1342214340 its reverse (434122431), we get a palindrome (1776336771).

The spelling of 1342214340 in words is "one billion, three hundred forty-two million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 89 95 114 178 190 228 267 285 356 380 445 534 570 890 1068 1140 1335 1691 1780 2670 3382 5073 5340 6764 8455 10146 13229 16910 20292 25365 26458 33820 39687 50730 52916 66145 79374 101460 132290 158748 198435 251351 264580 396870 502702 754053 793740 1005404 1177381 1256755 1508106 2354762 2513510 3016212 3532143 3770265 4709524 5027020 5886905 7064286 7540530 11773810 14128572 15081060 17660715 22370239 23547620 35321430 44740478 67110717 70642860 89480956 111851195 134221434 223702390 268442868 335553585 447404780 671107170 1342214340