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396269940 = 2235114313963
BaseRepresentation
bin10111100111101…
…001100101110100
31000121122121011110
4113213221211310
51302421114230
6103153235020
712551144643
oct2747514564
91017577143
10396269940
11193758520
12b0862a70
1364136871
143a8b335a
1524bc84b0
hex179e9974

396269940 has 96 divisors (see below), whose sum is σ = 1238662656. Its totient is φ = 93824640.

The previous prime is 396269933. The next prime is 396269941. The reversal of 396269940 is 49962693.

It is a super-4 number, since 4×3962699404 (a number of 35 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 396269940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396269941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21399 + ... + 35361.

It is an arithmetic number, because the mean of its divisors is an integer number (12902736).

Almost surely, 2396269940 is an apocalyptic number.

396269940 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 396269940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619331328).

396269940 is an abundant number, since it is smaller than the sum of its proper divisors (842392716).

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

396269940 is a wasteful number, since it uses less digits than its factorization.

396269940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14029 (or 14027 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 396269940 is about 19906.5300843718. The cubic root of 396269940 is about 734.5088671369.

The spelling of 396269940 in words is "three hundred ninety-six million, two hundred sixty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2580 2838 4730 5676 7095 9460 13963 14190 27926 28380 41889 55852 69815 83778 139630 153593 167556 209445 279260 307186 418890 460779 600409 614372 767965 837780 921558 1200818 1535930 1801227 1843116 2303895 2401636 3002045 3071860 3602454 4607790 6004090 6604499 7204908 9006135 9215580 12008180 13208998 18012270 19813497 26417996 33022495 36024540 39626994 66044990 79253988 99067485 132089980 198134970 396269940