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1303553340 = 2232567108089
BaseRepresentation
bin100110110110010…
…1010010100111100
310100211212101000100
41031230222110330
510132202201330
6333203401100
744206010025
oct11554522474
93324771010
101303553340
11609904a11
12304683190
1317a0b044b
14c51a7c4c
1579693060
hex4db2a53c

1303553340 has 72 divisors (see below), whose sum is σ = 4013165520. Its totient is φ = 342422784.

The previous prime is 1303553333. The next prime is 1303553341. The reversal of 1303553340 is 433553031.

It is a happy number.

1303553340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303553341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41985 + ... + 66104.

It is an arithmetic number, because the mean of its divisors is an integer number (55738410).

Almost surely, 21303553340 is an apocalyptic number.

1303553340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303553340 is an abundant number, since it is smaller than the sum of its proper divisors (2709612180).

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

1303553340 is a wasteful number, since it uses less digits than its factorization.

1303553340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108171 (or 108166 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 1303553340 is about 36104.7550884922. The cubic root of 1303553340 is about 1092.3863604881.

The spelling of 1303553340 in words is "one billion, three hundred three million, five hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 108089 216178 324267 432356 540445 648534 972801 1080890 1297068 1621335 1945602 2161780 3242670 3891204 4864005 6485340 7241963 9728010 14483926 19456020 21725889 28967852 36209815 43451778 65177667 72419630 86903556 108629445 130355334 144839260 217258890 260710668 325888335 434517780 651776670 1303553340