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396343984680 = 2333571719237057
BaseRepresentation
bin1011100010001111111…
…00010100001000101000
31101220000220010112211000
411301013330110020220
522443203030002210
6502024455035000
740430526166140
oct5610774241050
91356026115730
10396343984680
111430a7934a36
126499296ba60
132b4b5077b77
141527c7d1920
15a49a96eac0
hex5c47f14228

396343984680 has 1024 divisors, whose sum is σ = 1756256256000. Its totient is φ = 77253378048.

The previous prime is 396343984643. The next prime is 396343984693. The reversal of 396343984680 is 86489343693.

396343984680 is a `hidden beast` number, since 3 + 9 + 63 + 439 + 84 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56159712 + ... + 56166768.

It is an arithmetic number, because the mean of its divisors is an integer number (1715094000).

Almost surely, 2396343984680 is an apocalyptic number.

396343984680 is a gapful number since it is divisible by the number (30) 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 396343984680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878128128000).

396343984680 is an abundant number, since it is smaller than the sum of its proper divisors (1359912271320).

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

396343984680 is a wasteful number, since it uses less digits than its factorization.

396343984680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 396343984680 in words is "three hundred ninety-six billion, three hundred forty-three million, nine hundred eighty-four thousand, six hundred eighty".