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1343680 = 265131719
BaseRepresentation
bin101001000000011000000
32112021011221
411020003000
5320444210
644444424
714264302
oct5100300
92467157
101343680
11838588
12549714
133807a0
1426d972
151b81da
hex1480c0

1343680 has 112 divisors (see below), whose sum is σ = 3840480. Its totient is φ = 442368.

The previous prime is 1343677. The next prime is 1343681. The reversal of 1343680 is 863431.

It is not an unprimeable number, because it can be changed into a prime (1343681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70711 + ... + 70729.

It is an arithmetic number, because the mean of its divisors is an integer number (34290).

21343680 is an apocalyptic number.

1343680 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 1343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920240).

1343680 is an abundant number, since it is smaller than the sum of its proper divisors (2496800).

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

1343680 is a wasteful number, since it uses less digits than its factorization.

1343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1343680 is about 1159.1721183672. The cubic root of 1343680 is about 110.3482078706.

Subtracting from 1343680 its reverse (863431), we obtain a square (480249 = 6932).

The spelling of 1343680 in words is "one million, three hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 17 19 20 26 32 34 38 40 52 64 65 68 76 80 85 95 104 130 136 152 160 170 190 208 221 247 260 272 304 320 323 340 380 416 442 494 520 544 608 646 680 760 832 884 988 1040 1088 1105 1216 1235 1292 1360 1520 1615 1768 1976 2080 2210 2470 2584 2720 3040 3230 3536 3952 4160 4199 4420 4940 5168 5440 6080 6460 7072 7904 8398 8840 9880 10336 12920 14144 15808 16796 17680 19760 20672 20995 25840 33592 35360 39520 41990 51680 67184 70720 79040 83980 103360 134368 167960 268736 335920 671840 1343680