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396973746 = 2321311315013
BaseRepresentation
bin10111101010010…
…101011010110010
31000122222100121100
4113222111122302
51303111124441
6103220305230
712560135601
oct2752253262
91018870540
10396973746
11194099284
12b0b42216
1364322010
143aa17a38
1524cb6cb6
hex17a956b2

396973746 has 48 divisors (see below), whose sum is σ = 934531416. Its totient is φ = 121056768.

The previous prime is 396973739. The next prime is 396973747. The reversal of 396973746 is 647379693.

It can be written as a sum of positive squares in 4 ways, for example, as 195021225 + 201952521 = 13965^2 + 14211^2 .

It is a junction number, because it is equal to n+sod(n) for n = 396973692 and 396973701.

It is not an unprimeable number, because it can be changed into a prime (396973747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18936 + ... + 33948.

Almost surely, 2396973746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396973746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467265708).

396973746 is an abundant number, since it is smaller than the sum of its proper divisors (537557670).

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

396973746 is a wasteful number, since it uses less digits than its factorization.

396973746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15147 (or 15144 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 396973746 is about 19924.2000090342. The cubic root of 396973746 is about 734.9434580967.

The spelling of 396973746 in words is "three hundred ninety-six million, nine hundred seventy-three thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 4407 8814 13221 15013 26442 30026 45039 90078 135117 195169 270234 390338 585507 1171014 1696469 1756521 3392938 3513042 5089407 10178814 15268221 22054097 30536442 44108194 66162291 132324582 198486873 396973746