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396434340 = 223252202413
BaseRepresentation
bin10111101000010…
…001101110100100
31000121221221200100
4113220101232210
51302441344330
6103200544100
712552431151
oct2750215644
91017857610
10396434340
1119385aa95
12b0922030
1364193643
143a917228
1524c0c060
hex17a11ba4

396434340 has 36 divisors (see below), whose sum is σ = 1202518044. Its totient is φ = 105715776.

The previous prime is 396434327. The next prime is 396434387. The reversal of 396434340 is 43434693.

It is a happy number.

396434340 is a `hidden beast` number, since 3 + 9 + 643 + 4 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 244109376 + 152324964 = 15624^2 + 12342^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 396434295 and 396434304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1101027 + ... + 1101386.

It is an arithmetic number, because the mean of its divisors is an integer number (33403279).

Almost surely, 2396434340 is an apocalyptic number.

396434340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

396434340 is an abundant number, since it is smaller than the sum of its proper divisors (806083704).

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

396434340 is a wasteful number, since it uses less digits than its factorization.

396434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202428 (or 2202423 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 396434340 is about 19910.6589544395. The cubic root of 396434340 is about 734.6104280095.

The spelling of 396434340 in words is "three hundred ninety-six million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2202413 4404826 6607239 8809652 11012065 13214478 19821717 22024130 26428956 33036195 39643434 44048260 66072390 79286868 99108585 132144780 198217170 396434340