Search a number
-
+
1342680 = 233567167
BaseRepresentation
bin101000111110011011000
32112012210220
411013303120
5320431210
644440040
714261343
oct5076330
92465726
101342680
11837859
12549020
133801b1
1426d45a
151b7c70
hex147cd8

1342680 has 64 divisors (see below), whose sum is σ = 4112640. Its totient is φ = 350592.

The previous prime is 1342669. The next prime is 1342697. The reversal of 1342680 is 862431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1342680.

It is a congruent number.

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, 7957 + ... + 8123.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

21342680 is an apocalyptic number.

1342680 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 1342680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056320).

1342680 is an abundant number, since it is smaller than the sum of its proper divisors (2769960).

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

1342680 is a wasteful number, since it uses less digits than its factorization.

1342680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1342680 is about 1158.7406957555. The cubic root of 1342680 is about 110.3208264519.

1342680 divided by its sum of digits (24) gives a triangular number (55945 = T334).

Subtracting from 1342680 its reverse (862431), we obtain a square (480249 = 6932).

The spelling of 1342680 in words is "one million, three hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 167 201 268 334 335 402 501 536 668 670 804 835 1002 1005 1336 1340 1608 1670 2004 2010 2505 2680 3340 4008 4020 5010 6680 8040 10020 11189 20040 22378 33567 44756 55945 67134 89512 111890 134268 167835 223780 268536 335670 447560 671340 1342680