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396869760 = 27335717193
BaseRepresentation
bin10111101001111…
…100000010000000
31000122210001222000
4113221330002000
51303044313020
6103214144000
712556223460
oct2751740200
91018701860
10396869760
11194028141
12b0ab2000
13642b68a1
143a9cbba0
1524c96090
hex17a7c080

396869760 has 512 divisors, whose sum is σ = 1709683200. Its totient is φ = 84934656.

The previous prime is 396869731. The next prime is 396869771. The reversal of 396869760 is 67968693.

It is a happy number.

It is a super-3 number, since 3×3968697603 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 396869697 and 396869706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056224 + ... + 2056416.

It is an arithmetic number, because the mean of its divisors is an integer number (3339225).

Almost surely, 2396869760 is an apocalyptic number.

396869760 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 396869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854841600).

396869760 is an abundant number, since it is smaller than the sum of its proper divisors (1312813440).

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

396869760 is a wasteful number, since it uses less digits than its factorization.

396869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 396869760 is about 19921.5902979657. The cubic root of 396869760 is about 734.8792804651.

The spelling of 396869760 in words is "three hundred ninety-six million, eight hundred sixty-nine thousand, seven hundred sixty".