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1997312 = 294783
BaseRepresentation
bin111100111101000000000
310202110210112
413213220000
51002403222
6110450452
722656032
oct7475000
93673715
101997312
111144679
12803a28
1354c155
1439dc52
15296be2
hex1e7a00

1997312 has 40 divisors (see below), whose sum is σ = 4124736. Its totient is φ = 965632.

The previous prime is 1997311. The next prime is 1997321. The reversal of 1997312 is 2137991.

It is a happy number.

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

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1997311) 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, 24023 + ... + 24105.

21997312 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 1997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368).

1997312 is an abundant number, since it is smaller than the sum of its proper divisors (2127424).

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

1997312 is an frugal number, since it uses more digits than its factorization.

1997312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its digits is 3402, while the sum is 32.

The square root of 1997312 is about 1413.2628913263. The cubic root of 1997312 is about 125.9356352204.

The spelling of 1997312 in words is "one million, nine hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 83 94 128 166 188 256 332 376 512 664 752 1328 1504 2656 3008 3901 5312 6016 7802 10624 12032 15604 21248 24064 31208 42496 62416 124832 249664 499328 998656 1997312