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383201928 = 23347692
BaseRepresentation
bin10110110101110…
…011001010001000
3222201001200020000
4112311303022020
51241044430203
6102005203000
712332106534
oct2665631210
9881050200
10383201928
1118734230a
12a8400460
136150c705
1438c70bc4
15239964a3
hex16d73288

383201928 has 60 divisors (see below), whose sum is σ = 1074717765. Its totient is φ = 127567872.

The previous prime is 383201927. The next prime is 383201941. The reversal of 383201928 is 829102383.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 378613764 + 4588164 = 19458^2 + 2142^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=13842.

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

It is a junction number, because it is equal to n+sod(n) for n = 383201892 and 383201901.

It is not an unprimeable number, because it can be changed into a prime (383201927) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 497928 + ... + 498696.

Almost surely, 2383201928 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 383201928

383201928 is an abundant number, since it is smaller than the sum of its proper divisors (691515837).

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

383201928 is an frugal number, since it uses more digits than its factorization.

383201928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 383201928 is about 19575.5441303684. The cubic root of 383201928 is about 726.3443486333.

The spelling of 383201928 in words is "three hundred eighty-three million, two hundred one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 769 1538 2307 3076 4614 6152 6921 9228 13842 18456 20763 27684 41526 55368 62289 83052 124578 166104 249156 498312 591361 1182722 1774083 2365444 3548166 4730888 5322249 7096332 10644498 14192664 15966747 21288996 31933494 42577992 47900241 63866988 95800482 127733976 191600964 383201928