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1340233240 = 235378211103
BaseRepresentation
bin100111111100010…
…0101011000011000
310110101212220101011
41033320211120120
510221044430430
6340553503304
745132536353
oct11770453030
93411786334
101340233240
11628588085
12314a11b34
13184883a28
14c9dd529a
157c9db22a
hex4fe25618

1340233240 has 64 divisors (see below), whose sum is σ = 3103608960. Its totient is φ = 520496640.

The previous prime is 1340233217. The next prime is 1340233243. The reversal of 1340233240 is 423320431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340233243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214529 + ... + 1215631.

It is an arithmetic number, because the mean of its divisors is an integer number (48493890).

Almost surely, 21340233240 is an apocalyptic number.

1340233240 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 1340233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551804480).

1340233240 is an abundant number, since it is smaller than the sum of its proper divisors (1763375720).

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

1340233240 is a wasteful number, since it uses less digits than its factorization.

1340233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1340233240 is about 36609.1961124524. The cubic root of 1340233240 is about 1102.5377331573.

Adding to 1340233240 its reverse (423320431), we get a palindrome (1763553671).

The spelling of 1340233240 in words is "one billion, three hundred forty million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 821 1103 1480 1642 2206 3284 4105 4412 5515 6568 8210 8824 11030 16420 22060 30377 32840 40811 44120 60754 81622 121508 151885 163244 204055 243016 303770 326488 408110 607540 816220 905563 1215080 1632440 1811126 3622252 4527815 7244504 9055630 18111260 33505831 36222520 67011662 134023324 167529155 268046648 335058310 670116620 1340233240