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1303540340 = 22537101107163
BaseRepresentation
bin100110110110010…
…0111001001110100
310100211211201011212
41031230213021310
510132201242330
6333203220552
744205624104
oct11554471164
93324751155
101303540340
116098a6173
12304677758
1317a0a755b
14c51a3204
157968e295
hex4db27274

1303540340 has 96 divisors (see below), whose sum is σ = 2883371904. Its totient is φ = 494553600.

The previous prime is 1303540291. The next prime is 1303540363. The reversal of 1303540340 is 430453031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7997099 + ... + 7997261.

It is an arithmetic number, because the mean of its divisors is an integer number (30035124).

Almost surely, 21303540340 is an apocalyptic number.

1303540340 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 1303540340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441685952).

1303540340 is an abundant number, since it is smaller than the sum of its proper divisors (1579831564).

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

1303540340 is a wasteful number, since it uses less digits than its factorization.

1303540340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 1303540340 is about 36104.5750563554. The cubic root of 1303540340 is about 1092.3827291139.

Adding to 1303540340 its reverse (430453031), we get a palindrome (1733993371).

The spelling of 1303540340 in words is "one billion, three hundred three million, five hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 101 107 148 163 185 202 214 326 370 404 428 505 535 652 740 815 1010 1070 1630 2020 2140 3260 3737 3959 6031 7474 7918 10807 12062 14948 15836 16463 17441 18685 19795 21614 24124 30155 32926 34882 37370 39590 43228 54035 60310 65852 69764 74740 79180 82315 87205 108070 120620 164630 174410 216140 329260 348820 399859 609131 645317 799718 1218262 1290634 1599436 1761541 1999295 2436524 2581268 3045655 3226585 3523082 3998590 6091310 6453170 7046164 7997180 8807705 12182620 12906340 17615410 35230820 65177017 130354034 260708068 325885085 651770170 1303540340