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13340320 = 255743277
BaseRepresentation
bin110010111000…
…111010100000
3221002202110221
4302320322200
511403342240
61153532424
7221251030
oct62707240
927082427
1013340320
117591864
124574114
1329c10a6
141ab38c0
151287a4a
hexcb8ea0

13340320 has 96 divisors (see below), whose sum is σ = 36989568. Its totient is φ = 4451328.

The previous prime is 13340309. The next prime is 13340351. The reversal of 13340320 is 2304331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13340294 and 13340303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48022 + ... + 48298.

It is an arithmetic number, because the mean of its divisors is an integer number (385308).

Almost surely, 213340320 is an apocalyptic number.

13340320 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 13340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18494784).

13340320 is an abundant number, since it is smaller than the sum of its proper divisors (23649248).

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

13340320 is a wasteful number, since it uses less digits than its factorization.

13340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 13340320 is about 3652.4402801415. The cubic root of 13340320 is about 237.1676311136.

Adding to 13340320 its reverse (2304331), we get a palindrome (15644651).

The spelling of 13340320 in words is "thirteen million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 112 140 160 172 215 224 277 280 301 344 430 554 560 602 688 860 1108 1120 1204 1376 1385 1505 1720 1939 2216 2408 2770 3010 3440 3878 4432 4816 5540 6020 6880 7756 8864 9632 9695 11080 11911 12040 15512 19390 22160 23822 24080 31024 38780 44320 47644 48160 59555 62048 77560 83377 95288 119110 155120 166754 190576 238220 310240 333508 381152 416885 476440 667016 833770 952880 1334032 1667540 1905760 2668064 3335080 6670160 13340320