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1303040240 = 24583311631
BaseRepresentation
bin100110110101010…
…1101000011110000
310100210220022011122
41031222231003300
510132034241430
6333144401412
744201442065
oct11552550360
93323808148
101303040240
11609594467
12304476268
13179c60a38
14c50b2c6c
15795e0ee5
hex4daad0f0

1303040240 has 80 divisors (see below), whose sum is σ = 3080802816. Its totient is φ = 512467200.

The previous prime is 1303040237. The next prime is 1303040243. The reversal of 1303040240 is 420403031.

It is an interprime number because it is at equal distance from previous prime (1303040237) and next prime (1303040243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303040243) 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, 2064725 + ... + 2065355.

Almost surely, 21303040240 is an apocalyptic number.

1303040240 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 1303040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540401408).

1303040240 is an abundant number, since it is smaller than the sum of its proper divisors (1777762576).

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

1303040240 is a wasteful number, since it uses less digits than its factorization.

1303040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1303040240 is about 36097.6486768875. The cubic root of 1303040240 is about 1092.2430146089.

Adding to 1303040240 its reverse (420403031), we get a palindrome (1723443271).

The spelling of 1303040240 in words is "one billion, three hundred three million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 311 332 415 622 631 664 830 1244 1262 1328 1555 1660 2488 2524 3110 3155 3320 4976 5048 6220 6310 6640 10096 12440 12620 24880 25240 25813 50480 51626 52373 103252 104746 129065 196241 206504 209492 258130 261865 392482 413008 418984 516260 523730 784964 837968 981205 1032520 1047460 1569928 1962410 2065040 2094920 3139856 3924820 4189840 7849640 15699280 16288003 32576006 65152012 81440015 130304024 162880030 260608048 325760060 651520120 1303040240