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1343664 = 243273143
BaseRepresentation
bin101001000000010110000
32112021011100
411020002300
5320444124
644444400
714264250
oct5100260
92467140
101343664
11838573
12549700
1338078a
1426d960
151b81c9
hex1480b0

1343664 has 120 divisors (see below), whose sum is σ = 4539392. Its totient is φ = 362880.

The previous prime is 1343653. The next prime is 1343669. The reversal of 1343664 is 4663431.

1343664 = 1932 + 1942 + ... + 2232.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1343669) 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, 31227 + ... + 31269.

21343664 is an apocalyptic number.

1343664 is a gapful number since it is divisible by the number (14) 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 1343664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269696).

1343664 is an abundant number, since it is smaller than the sum of its proper divisors (3195728).

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

1343664 is a wasteful number, since it uses less digits than its factorization.

1343664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 86 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 1343664 is about 1159.1652168695. The cubic root of 1343664 is about 110.3477698748.

The spelling of 1343664 in words is "one million, three hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 43 48 56 62 63 72 84 86 93 112 124 126 129 144 168 172 186 217 248 252 258 279 301 336 344 372 387 434 496 504 516 558 602 651 688 744 774 868 903 1008 1032 1116 1204 1302 1333 1488 1548 1736 1806 1953 2064 2232 2408 2604 2666 2709 3096 3472 3612 3906 3999 4464 4816 5208 5332 5418 6192 7224 7812 7998 9331 10416 10664 10836 11997 14448 15624 15996 18662 21328 21672 23994 27993 31248 31992 37324 43344 47988 55986 63984 74648 83979 95976 111972 149296 167958 191952 223944 335916 447888 671832 1343664