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396322740 = 223351166721
BaseRepresentation
bin10111100111110…
…110011110110100
31000121202021121000
4113213312132310
51302424311430
6103154323300
712551454612
oct2747663664
91017667530
10396322740
11193794160
12b0889530
13641548c8
143a8c86b2
1524bd8e60
hex179f67b4

396322740 has 96 divisors (see below), whose sum is σ = 1345115520. Its totient is φ = 96076800.

The previous prime is 396322723. The next prime is 396322763. The reversal of 396322740 is 47223693.

It is a happy number.

396322740 is a `hidden beast` number, since 396 + 3 + 227 + 40 = 666.

It is a super-2 number, since 2×3963227402 = 314143428482215200, which contains 22 as substring.

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 = 396322695 and 396322704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27421 + ... + 39300.

It is an arithmetic number, because the mean of its divisors is an integer number (14011620).

Almost surely, 2396322740 is an apocalyptic number.

396322740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

396322740 is an abundant number, since it is smaller than the sum of its proper divisors (948792780).

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

396322740 is a wasteful number, since it uses less digits than its factorization.

396322740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66750 (or 66742 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 396322740 is about 19907.8562381789. The cubic root of 396322740 is about 734.5414882889.

The spelling of 396322740 in words is "three hundred ninety-six million, three hundred twenty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 66721 133442 200163 266884 333605 400326 600489 667210 733931 800652 1000815 1200978 1334420 1467862 1801467 2001630 2201793 2401956 2935724 3002445 3602934 3669655 4003260 4403586 6004890 6605379 7205868 7339310 8807172 9007335 11008965 12009780 13210758 14678620 18014670 19816137 22017930 26421516 33026895 36029340 39632274 44035860 66053790 79264548 99080685 132107580 198161370 396322740