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381833424 = 243271919937
BaseRepresentation
bin10110110000100…
…101000011010000
3222121111010222200
4112300211003100
51240222132144
6101520003200
712314346660
oct2660450320
9877433880
10381833424
11186598115
12a7a60500
136115084b
14389d61a0
15237c5c69
hex16c250d0

381833424 has 120 divisors (see below), whose sum is σ = 1285602240. Its totient is φ = 103348224.

The previous prime is 381833383. The next prime is 381833461. The reversal of 381833424 is 424338183.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9184 + ... + 29120.

It is an arithmetic number, because the mean of its divisors is an integer number (10713352).

Almost surely, 2381833424 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 381833424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642801120).

381833424 is an abundant number, since it is smaller than the sum of its proper divisors (903768816).

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

381833424 is a wasteful number, since it uses less digits than its factorization.

381833424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19977 (or 19968 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 381833424 is about 19540.5584362372. The cubic root of 381833424 is about 725.4786685986.

The spelling of 381833424 in words is "three hundred eighty-one million, eight hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 19937 39874 59811 79748 119622 139559 159496 179433 239244 279118 318992 358866 378803 418677 478488 558236 717732 757606 837354 956976 1116472 1136409 1256031 1435464 1515212 1674708 2232944 2272818 2512062 2651621 2870928 3030424 3349416 3409227 4545636 5024124 5303242 6060848 6698832 6818454 7954863 9091272 10048248 10606484 13636908 15909726 18182544 20096496 21212968 23864589 27273816 31819452 42425936 47729178 54547632 63638904 95458356 127277808 190916712 381833424