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1340100320 = 255131016379
BaseRepresentation
bin100111111100000…
…0100111011100000
310110101122011001012
41033320010323200
510221031202240
6340551000052
745131444006
oct11770047340
93411564035
101340100320
116284a7229
12314969028
13184838390
14c9d9ca76
157c9b1b65
hex4fe04ee0

1340100320 has 96 divisors (see below), whose sum is σ = 3443821920. Its totient is φ = 489830400.

The previous prime is 1340100287. The next prime is 1340100337. The reversal of 1340100320 is 230010431.

It is a super-3 number, since 3×13401003203 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1340100295 and 1340100304.

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, 206891 + ... + 213269.

It is an arithmetic number, because the mean of its divisors is an integer number (35873145).

Almost surely, 21340100320 is an apocalyptic number.

1340100320 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 1340100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721910960).

1340100320 is an abundant number, since it is smaller than the sum of its proper divisors (2103721600).

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

1340100320 is a wasteful number, since it uses less digits than its factorization.

1340100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508 (or 6500 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1340100320 is about 36607.3806765794. The cubic root of 1340100320 is about 1102.5012832430.

Adding to 1340100320 its reverse (230010431), we get a palindrome (1570110751).

The spelling of 1340100320 in words is "one billion, three hundred forty million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 101 104 130 160 202 208 260 404 416 505 520 808 1010 1040 1313 1616 2020 2080 2626 3232 4040 5252 6379 6565 8080 10504 12758 13130 16160 21008 25516 26260 31895 42016 51032 52520 63790 82927 102064 105040 127580 165854 204128 210080 255160 331708 414635 510320 644279 663416 829270 1020640 1288558 1326832 1658540 2577116 2653664 3221395 3317080 5154232 6442790 6634160 8375627 10308464 12885580 13268320 16751254 20616928 25771160 33502508 41878135 51542320 67005016 83756270 103084640 134010032 167512540 268020064 335025080 670050160 1340100320