Search a number
-
+
1383228432 = 2432311631901
BaseRepresentation
bin101001001110010…
…0110010000010000
310120101210021200200
41102130212100100
510313101302212
6345131215200
746164150645
oct12234462020
93511707620
101383228432
1164a883aa3
123272a7500
13190758981
14d19c7dcc
15816806dc
hex52726410

1383228432 has 120 divisors (see below), whose sum is σ = 4022623488. Its totient is φ = 443232000.

The previous prime is 1383228419. The next prime is 1383228433. The reversal of 1383228432 is 2348223831.

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 not an unprimeable number, because it can be changed into a prime (1383228433) 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 23 ways as a sum of consecutive naturals, for example, 726682 + ... + 728582.

Almost surely, 21383228432 is an apocalyptic number.

1383228432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383228432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011311744).

1383228432 is an abundant number, since it is smaller than the sum of its proper divisors (2639395056).

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

1383228432 is a wasteful number, since it uses less digits than its factorization.

1383228432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2100 counting only the distinct ones).

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

The square root of 1383228432 is about 37191.7790916218. The cubic root of 1383228432 is about 1114.2038011355.

The spelling of 1383228432 in words is "one billion, three hundred eighty-three million, two hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 163 186 248 279 326 372 489 496 558 652 744 978 1116 1304 1467 1488 1901 1956 2232 2608 2934 3802 3912 4464 5053 5703 5868 7604 7824 10106 11406 11736 15159 15208 17109 20212 22812 23472 30318 30416 34218 40424 45477 45624 58931 60636 68436 80848 90954 91248 117862 121272 136872 176793 181908 235724 242544 273744 309863 353586 363816 471448 530379 619726 707172 727632 929589 942896 1060758 1239452 1414344 1859178 2121516 2478904 2788767 2828688 3718356 4243032 4957808 5577534 7436712 8486064 9605753 11155068 14873424 19211506 22310136 28817259 38423012 44620272 57634518 76846024 86451777 115269036 153692048 172903554 230538072 345807108 461076144 691614216 1383228432