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1343309040 = 243258920963
BaseRepresentation
bin101000000010001…
…0100010011110000
310110121200011120200
41100010110103300
510222341342130
6341143435200
745200636613
oct12004242360
93417604520
101343309040
1162a298a67
12315a55b00
131853bca28
14ca59617a
157cde7760
hex501144f0

1343309040 has 120 divisors (see below), whose sum is σ = 4562185680. Its totient is φ = 354173952.

The previous prime is 1343308973. The next prime is 1343309041. The reversal of 1343309040 is 409033431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1343308995 and 1343309013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343309041) 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, 53599 + ... + 74561.

It is an arithmetic number, because the mean of its divisors is an integer number (38018214).

Almost surely, 21343309040 is an apocalyptic number.

1343309040 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 1343309040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281092840).

1343309040 is an abundant number, since it is smaller than the sum of its proper divisors (3218876640).

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

1343309040 is a wasteful number, since it uses less digits than its factorization.

1343309040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21071 (or 21062 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1343309040 is about 36651.1806085425. The cubic root of 1343309040 is about 1103.3805204508.

The spelling of 1343309040 in words is "one billion, three hundred forty-three million, three hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 356 360 445 534 712 720 801 890 1068 1335 1424 1602 1780 2136 2670 3204 3560 4005 4272 5340 6408 7120 8010 10680 12816 16020 20963 21360 32040 41926 62889 64080 83852 104815 125778 167704 188667 209630 251556 314445 335408 377334 419260 503112 628890 754668 838520 943335 1006224 1257780 1509336 1677040 1865707 1886670 2515560 3018672 3731414 3773340 5031120 5597121 7462828 7546680 9328535 11194242 14925656 15093360 16791363 18657070 22388484 27985605 29851312 33582726 37314140 44776968 55971210 67165452 74628280 83956815 89553936 111942420 134330904 149256560 167913630 223884840 268661808 335827260 447769680 671654520 1343309040