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1330201340 = 2251315732587
BaseRepresentation
bin100111101001001…
…0100001011111100
310102201000020012022
41033102110023330
510211012420330
6335554455312
744651345006
oct11722241374
93381006168
101330201340
11622955a56
12311594538
131827807b0
14c8943376
157bba8ae5
hex4f4942fc

1330201340 has 48 divisors (see below), whose sum is σ = 3027555552. Its totient is φ = 488007936.

The previous prime is 1330201337. The next prime is 1330201349. The reversal of 1330201340 is 431020331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330201349) 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, 24527 + ... + 57113.

It is an arithmetic number, because the mean of its divisors is an integer number (63074074).

Almost surely, 21330201340 is an apocalyptic number.

1330201340 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 1330201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513777776).

1330201340 is an abundant number, since it is smaller than the sum of its proper divisors (1697354212).

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

1330201340 is a wasteful number, since it uses less digits than its factorization.

1330201340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32766 (or 32764 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1330201340 is about 36471.9253673288. The cubic root of 1330201340 is about 1099.7799394498.

Adding to 1330201340 its reverse (431020331), we get a palindrome (1761221671).

The spelling of 1330201340 in words is "one billion, three hundred thirty million, two hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 628 785 1570 2041 3140 4082 8164 10205 20410 32587 40820 65174 130348 162935 325870 423631 651740 847262 1694524 2118155 4236310 5116159 8472620 10232318 20464636 25580795 51161590 66510067 102323180 133020134 266040268 332550335 665100670 1330201340