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396430432 = 25371911753
BaseRepresentation
bin10111101000010…
…000110001100000
31000121221202022121
4113220100301200
51302441233212
6103200514024
712552413566
oct2750206140
91017852277
10396430432
11193858062
12b091b914
1364191928
143a915a36
1524c0ad07
hex17a10c60

396430432 has 48 divisors (see below), whose sum is σ = 806222592. Its totient is φ = 191738880.

The previous prime is 396430427. The next prime is 396430439. The reversal of 396430432 is 234034693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396430439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225268 + ... + 227020.

It is an arithmetic number, because the mean of its divisors is an integer number (16796304).

Almost surely, 2396430432 is an apocalyptic number.

396430432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403111296).

396430432 is an abundant number, since it is smaller than the sum of its proper divisors (409792160).

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

396430432 is a wasteful number, since it uses less digits than its factorization.

396430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The square root of 396430432 is about 19910.5608158083. The cubic root of 396430432 is about 734.6080141025.

The spelling of 396430432 in words is "three hundred ninety-six million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 74 148 191 296 382 592 764 1184 1528 1753 3056 3506 6112 7012 7067 14024 14134 28048 28268 56096 56536 64861 113072 129722 226144 259444 334823 518888 669646 1037776 1339292 2075552 2678584 5357168 10714336 12388451 24776902 49553804 99107608 198215216 396430432