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397041984 = 2632689309
BaseRepresentation
bin10111101010100…
…110000101000000
31000200002211012200
4113222212011000
51303120320414
6103221553200
712560541543
oct2752460500
91020084180
10397041984
11194135579
12b0b75800
13643470b1
143aa3485a
1524ccc109
hex17aa6140

397041984 has 42 divisors (see below), whose sum is σ = 1138050810. Its totient is φ = 132347136.

The previous prime is 397041979. The next prime is 397041989. The reversal of 397041984 is 489140793.

It is an interprime number because it is at equal distance from previous prime (397041979) and next prime (397041989).

It can be written as a sum of positive squares in only one way, i.e., 294465600 + 102576384 = 17160^2 + 10128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397041989) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 344079 + ... + 345230.

Almost surely, 2397041984 is an apocalyptic number.

It is an amenable number.

397041984 is an abundant number, since it is smaller than the sum of its proper divisors (741008826).

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

397041984 is a wasteful number, since it uses less digits than its factorization.

397041984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689327 (or 689314 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 397041984 is about 19925.9123755978. The cubic root of 397041984 is about 734.9855668414.

It can be divided in two parts, 3970 and 41984, that added together give a palindrome (45954).

The spelling of 397041984 in words is "three hundred ninety-seven million, forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 689309 1378618 2067927 2757236 4135854 5514472 6203781 8271708 11028944 12407562 16543416 22057888 24815124 33086832 44115776 49630248 66173664 99260496 132347328 198520992 397041984