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1343952 = 24341761
BaseRepresentation
bin101001000000111010000
32112021120000
411020013100
5321001302
644450000
714265141
oct5100720
92467500
101343952
11838805
12549900
1338094c
1426dac8
151b831c
hex1481d0

1343952 has 100 divisors (see below), whose sum is σ = 4186116. Its totient is φ = 414720.

The previous prime is 1343941. The next prime is 1343957. The reversal of 1343952 is 2593431.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 876096 = 684^2 + 936^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343957) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 22002 + ... + 22062.

21343952 is an apocalyptic number.

1343952 is a gapful number since it is divisible by the number (12) 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 1343952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093058).

1343952 is an abundant number, since it is smaller than the sum of its proper divisors (2842164).

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

1343952 is a wasteful number, since it uses less digits than its factorization.

1343952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 1343952 is about 1159.2894375435. The cubic root of 1343952 is about 110.3556532662.

The spelling of 1343952 in words is "one million, three hundred forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 61 68 72 81 102 108 122 136 144 153 162 183 204 216 244 272 306 324 366 408 432 459 488 549 612 648 732 816 918 976 1037 1098 1224 1296 1377 1464 1647 1836 2074 2196 2448 2754 2928 3111 3294 3672 4148 4392 4941 5508 6222 6588 7344 8296 8784 9333 9882 11016 12444 13176 16592 18666 19764 22032 24888 26352 27999 37332 39528 49776 55998 74664 79056 83997 111996 149328 167994 223992 335988 447984 671976 1343952