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396353142 = 23313615393
BaseRepresentation
bin10111100111111…
…101111001110110
31000121210211022000
4113213331321312
51302431300032
6103155120130
712551642343
oct2747757166
91017724260
10396353142
11193804a89
12b08a3046
13641656b3
143a8d57ca
1524be2e7c
hex179fde76

396353142 has 32 divisors (see below), whose sum is σ = 881595360. Its totient is φ = 131996160.

The previous prime is 396353141. The next prime is 396353143. The reversal of 396353142 is 241353693.

It is a happy number.

396353142 is a `hidden beast` number, since 3 + 9 + 635 + 3 + 14 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (396353141) and next prime (396353143).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 396353097 and 396353106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396353141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70798 + ... + 76190.

It is an arithmetic number, because the mean of its divisors is an integer number (27549855).

Almost surely, 2396353142 is an apocalyptic number.

396353142 is an abundant number, since it is smaller than the sum of its proper divisors (485242218).

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

396353142 is a wasteful number, since it uses less digits than its factorization.

396353142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6759 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 396353142 is about 19908.6197914371. The cubic root of 396353142 is about 734.5602700856.

It can be divided in two parts, 396353 and 142, that added together give a triangular number (396495 = T890).

The spelling of 396353142 in words is "three hundred ninety-six million, three hundred fifty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 1361 2722 4083 5393 8166 10786 12249 16179 24498 32358 36747 48537 73494 97074 145611 291222 7339873 14679746 22019619 44039238 66058857 132117714 198176571 396353142