Search a number
-
+
1342976 = 294361
BaseRepresentation
bin101000111111000000000
32112020012212
411013320000
5320433401
644441252
714262245
oct5077000
92466185
101342976
11837aa8
12549228
1338037b
1426d5cc
151b7dbb
hex147e00

1342976 has 40 divisors (see below), whose sum is σ = 2790744. Its totient is φ = 645120.

The previous prime is 1342973. The next prime is 1342987. The reversal of 1342976 is 6792431.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21986 + ... + 22046.

21342976 is an apocalyptic number.

1342976 is a gapful number since it is divisible by the number (16) 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 1342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395372).

1342976 is an abundant number, since it is smaller than the sum of its proper divisors (1447768).

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

1342976 is an frugal number, since it uses more digits than its factorization.

1342976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 1342976 is about 1158.8684135828. The cubic root of 1342976 is about 110.3289327680.

The spelling of 1342976 in words is "one million, three hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 43 61 64 86 122 128 172 244 256 344 488 512 688 976 1376 1952 2623 2752 3904 5246 5504 7808 10492 11008 15616 20984 22016 31232 41968 83936 167872 335744 671488 1342976