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1340324320 = 255291511913
BaseRepresentation
bin100111111100011…
…1011100111100000
310110102001112022111
41033320323213200
510221110334240
6340555445104
745133366036
oct11770734740
93412045274
101340324320
1162863a555
12314a56794
131848b631a
14ca01a556
157ca081ea
hex4fe3b9e0

1340324320 has 96 divisors (see below), whose sum is σ = 3299123520. Its totient is φ = 513945600.

The previous prime is 1340324309. The next prime is 1340324341. The reversal of 1340324320 is 234230431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1340324291 and 1340324300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699684 + ... + 701596.

It is an arithmetic number, because the mean of its divisors is an integer number (34365870).

Almost surely, 21340324320 is an apocalyptic number.

1340324320 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 1340324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649561760).

1340324320 is an abundant number, since it is smaller than the sum of its proper divisors (1958799200).

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

1340324320 is a wasteful number, since it uses less digits than its factorization.

1340324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1340324320 is about 36610.4400410593. The cubic root of 1340324320 is about 1102.5627081291.

Adding to 1340324320 its reverse (234230431), we get a palindrome (1574554751).

The spelling of 1340324320 in words is "one billion, three hundred forty million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 151 160 232 290 302 464 580 604 755 928 1160 1208 1510 1913 2320 2416 3020 3826 4379 4640 4832 6040 7652 8758 9565 12080 15304 17516 19130 21895 24160 30608 35032 38260 43790 55477 61216 70064 76520 87580 110954 140128 153040 175160 221908 277385 288863 306080 350320 443816 554770 577726 700640 887632 1109540 1155452 1444315 1775264 2219080 2310904 2888630 4438160 4621808 5777260 8377027 8876320 9243616 11554520 16754054 23109040 33508108 41885135 46218080 67016216 83770270 134032432 167540540 268064864 335081080 670162160 1340324320