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383378944 = 2913239241
BaseRepresentation
bin10110110110011…
…110011000000000
3222201101200001011
4112312132120000
51241121111234
6102013050304
712333444604
oct2666363000
9881350034
10383378944
11187453303
12a8486994
1361572160
1438cb9504
15239cdb64
hex16d9e600

383378944 has 80 divisors (see below), whose sum is σ = 831821760. Its totient is φ = 175472640.

The previous prime is 383378939. The next prime is 383378993. The reversal of 383378944 is 449873383.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1590664 + ... + 1590904.

It is an arithmetic number, because the mean of its divisors is an integer number (10397772).

Almost surely, 2383378944 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 383378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415910880).

383378944 is an abundant number, since it is smaller than the sum of its proper divisors (448442816).

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

383378944 is a wasteful number, since it uses less digits than its factorization.

383378944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 495 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

The square root of 383378944 is about 19580.0649641415. The cubic root of 383378944 is about 726.4561737304.

The spelling of 383378944 in words is "three hundred eighty-three million, three hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 239 241 256 416 478 482 512 832 956 964 1664 1912 1928 3107 3133 3328 3824 3856 6214 6266 6656 7648 7712 12428 12532 15296 15424 24856 25064 30592 30848 49712 50128 57599 61184 61696 99424 100256 115198 122368 123392 198848 200512 230396 397696 401024 460792 748787 795392 802048 921584 1497574 1590784 1604096 1843168 2995148 3686336 5990296 7372672 11980592 14745344 23961184 29490688 47922368 95844736 191689472 383378944