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1997352 = 233371321
BaseRepresentation
bin111100111101000101000
310202110212000
413213220220
51002403402
6110451000
722656120
oct7475050
93673760
101997352
111144705
12803a60
1354c186
1439dc80
15296c1c
hex1e7a28

1997352 has 64 divisors (see below), whose sum is σ = 6345600. Its totient is φ = 570240.

The previous prime is 1997351. The next prime is 1997407. The reversal of 1997352 is 2537991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1997351) by changing a digit.

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, 852 + ... + 2172.

It is an arithmetic number, because the mean of its divisors is an integer number (99150).

21997352 is an apocalyptic number.

1997352 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 1997352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172800).

1997352 is an abundant number, since it is smaller than the sum of its proper divisors (4348248).

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

1997352 is a wasteful number, since it uses less digits than its factorization.

1997352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1333 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 1997352 is about 1413.2770429042. The cubic root of 1997352 is about 125.9364759156.

The spelling of 1997352 in words is "one million, nine hundred ninety-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1321 1512 2642 3963 5284 7926 9247 10568 11889 15852 18494 23778 27741 31704 35667 36988 47556 55482 71334 73976 83223 95112 110964 142668 166446 221928 249669 285336 332892 499338 665784 998676 1997352