Search a number
-
+
1342464 = 21031923
BaseRepresentation
bin101000111110000000000
32112012111220
411013300000
5320424324
644435040
714260614
oct5076000
92465456
101342464
11837682
12548a80
13380076
1426d344
151b7b79
hex147c00

1342464 has 88 divisors (see below), whose sum is σ = 3930240. Its totient is φ = 405504.

The previous prime is 1342433. The next prime is 1342489. The reversal of 1342464 is 4642431.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58357 + ... + 58379.

21342464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965120).

1342464 is an abundant number, since it is smaller than the sum of its proper divisors (2587776).

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

1342464 is a wasteful number, since it uses less digits than its factorization.

1342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 47 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1342464 is about 1158.6474873748. The cubic root of 1342464 is about 110.3149102802.

Adding to 1342464 its reverse (4642431), we get a palindrome (5984895).

The spelling of 1342464 in words is "one million, three hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 256 276 304 368 384 437 456 512 552 608 736 768 874 912 1024 1104 1216 1311 1472 1536 1748 1824 2208 2432 2622 2944 3072 3496 3648 4416 4864 5244 5888 6992 7296 8832 9728 10488 11776 13984 14592 17664 19456 20976 23552 27968 29184 35328 41952 55936 58368 70656 83904 111872 167808 223744 335616 447488 671232 1342464