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331469376 = 26372310723
BaseRepresentation
bin10011110000011…
…101001001000000
3212002201101111120
4103300131021000
51134324010001
652520312240
711133305010
oct2360351100
9762641446
10331469376
11160118937
1293012680
1353898834
1432045c40
151e178236
hex13c1d240

331469376 has 112 divisors (see below), whose sum is σ = 1045976064. Its totient is φ = 90579456.

The previous prime is 331469371. The next prime is 331469377. The reversal of 331469376 is 673964133.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (331469371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25551 + ... + 36273.

It is an arithmetic number, because the mean of its divisors is an integer number (9339072).

Almost surely, 2331469376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331469376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522988032).

331469376 is an abundant number, since it is smaller than the sum of its proper divisors (714506688).

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

331469376 is a wasteful number, since it uses less digits than its factorization.

331469376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10768 (or 10758 counting only the distinct ones).

The product of its digits is 244944, while the sum is 42.

The square root of 331469376 is about 18206.3004479219. The cubic root of 331469376 is about 692.0664620363.

The spelling of 331469376 in words is "three hundred thirty-one million, four hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 10723 15456 21446 30912 32169 42892 64338 75061 85784 128676 150122 171568 225183 246629 257352 300244 343136 450366 493258 514704 600488 686272 739887 900732 986516 1029408 1200976 1479774 1726403 1801464 1973032 2058816 2401952 2959548 3452806 3602928 3946064 4803904 5179209 5919096 6905612 7205856 7892128 10358418 11838192 13811224 14411712 15784256 20716836 23676384 27622448 41433672 47352768 55244896 82867344 110489792 165734688 331469376