Search a number
-
+
396490944 = 2632119787
BaseRepresentation
bin10111101000011…
…111100011000000
31000122001211022210
4113220133203000
51303000202234
6103202102120
712553055163
oct2750374300
91018054283
10396490944
11193899573
12b094a940
13641b3335
143a92dada
1524c1dbe9
hex17a1f8c0

396490944 has 56 divisors (see below), whose sum is σ = 1054128448. Its totient is φ = 131523840.

The previous prime is 396490943. The next prime is 396490957. The reversal of 396490944 is 449094693.

It is a super-2 number, since 2×3964909442 = 314410137348022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 396490893 and 396490902.

It is not an unprimeable number, because it can be changed into a prime (396490943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35619 + ... + 45405.

Almost surely, 2396490944 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 396490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527064224).

396490944 is an abundant number, since it is smaller than the sum of its proper divisors (657637504).

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

396490944 is a wasteful number, since it uses less digits than its factorization.

396490944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10013 (or 10003 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 396490944 is about 19912.0803533935. The cubic root of 396490944 is about 734.6453895871.

The spelling of 396490944 in words is "three hundred ninety-six million, four hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 633 844 1266 1688 2532 3376 5064 6752 9787 10128 13504 19574 20256 29361 39148 40512 58722 78296 117444 156592 234888 313184 469776 626368 939552 1879104 2065057 4130114 6195171 8260228 12390342 16520456 24780684 33040912 49561368 66081824 99122736 132163648 198245472 396490944