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396804312 = 233315711701
BaseRepresentation
bin10111101001101…
…100000011011000
31000122122202012000
4113221230003120
51303040214222
6103212521000
712555531612
oct2751540330
91018582160
10396804312
11193a92a53
12b0a80160
1364292b68
143a9b1db2
1524c819ac
hex17a6c0d8

396804312 has 64 divisors (see below), whose sum is σ = 1109349600. Its totient is φ = 131414400.

The previous prime is 396804311. The next prime is 396804319. The reversal of 396804312 is 213408693.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396804311) 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, 28062 + ... + 39762.

Almost surely, 2396804312 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 396804312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554674800).

396804312 is an abundant number, since it is smaller than the sum of its proper divisors (712545288).

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

396804312 is a wasteful number, since it uses less digits than its factorization.

396804312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11873 (or 11863 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 396804312 is about 19919.9475902925. The cubic root of 396804312 is about 734.8388818020.

The spelling of 396804312 in words is "three hundred ninety-six million, eight hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 157 216 314 471 628 942 1256 1413 1884 2826 3768 4239 5652 8478 11304 11701 16956 23402 33912 35103 46804 70206 93608 105309 140412 210618 280824 315927 421236 631854 842472 1263708 1837057 2527416 3674114 5511171 7348228 11022342 14696456 16533513 22044684 33067026 44089368 49600539 66134052 99201078 132268104 198402156 396804312