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397536 = 25341101
BaseRepresentation
bin1100001000011100000
3202012022120
41201003200
5100210121
612304240
73243666
oct1410340
9665276
10397536
11251747
12172080
1310bc39
14a4c36
157cbc6
hex610e0

397536 has 48 divisors (see below), whose sum is σ = 1079568. Its totient is φ = 128000.

The previous prime is 397519. The next prime is 397541. The reversal of 397536 is 635793.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 397497 and 397506.

It is a congruent number.

It is an unprimeable number.

397536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3886 + ... + 3986.

It is an arithmetic number, because the mean of its divisors is an integer number (22491).

2397536 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 397536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539784).

397536 is an abundant number, since it is smaller than the sum of its proper divisors (682032).

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

397536 is a wasteful number, since it uses less digits than its factorization.

397536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its digits is 17010, while the sum is 33.

The square root of 397536 is about 630.5045598566. The cubic root of 397536 is about 73.5290273611.

The spelling of 397536 in words is "three hundred ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 101 123 164 202 246 303 328 404 492 606 656 808 984 1212 1312 1616 1968 2424 3232 3936 4141 4848 8282 9696 12423 16564 24846 33128 49692 66256 99384 132512 198768 397536