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383874048 = 21032231811
BaseRepresentation
bin10110111000010…
…111010000000000
3222202022211012100
4112320113100000
51241232432143
6102031430400
712340606215
oct2670272000
9882284170
10383874048
11187761288
12a8685400
13616b660c
1438da7b0c
1523a7a6d3
hex16e17400

383874048 has 132 divisors (see below), whose sum is σ = 1157259168. Its totient is φ = 122327040.

The previous prime is 383874041. The next prime is 383874089. The reversal of 383874048 is 840478383.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 383873994 and 383874012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383874041) 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 11 ways as a sum of consecutive naturals, for example, 211063 + ... + 212873.

Almost surely, 2383874048 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 383874048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578629584).

383874048 is an abundant number, since it is smaller than the sum of its proper divisors (773385120).

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

383874048 is a wasteful number, since it uses less digits than its factorization.

383874048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 383874048 is about 19592.7039481538. The cubic root of 383874048 is about 726.7687597021.

The spelling of 383874048 in words is "three hundred eighty-three million, eight hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 1811 2208 2304 2944 3072 3312 3622 4416 4608 5433 5888 6624 7244 8832 9216 10866 11776 13248 14488 16299 17664 21732 23552 26496 28976 32598 35328 41653 43464 52992 57952 65196 70656 83306 86928 105984 115904 124959 130392 166612 173856 211968 231808 249918 260784 333224 347712 374877 463616 499836 521568 666448 695424 749754 927232 999672 1043136 1332896 1390848 1499508 1854464 1999344 2086272 2665792 2781696 2999016 3998688 4172544 5331584 5563392 5998032 7997376 8345088 10663168 11996064 15994752 16690176 21326336 23992128 31989504 42652672 47984256 63979008 95968512 127958016 191937024 383874048