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1332423432 = 23355911617
BaseRepresentation
bin100111101101011…
…0010101100001000
310102212012010100000
41033122302230020
510212100022212
6340114243000
745006261264
oct11732625410
93385163300
101332423432
1162413349a
12312286460
1318307b042
14c8d610a4
157be971dc
hex4f6b2b08

1332423432 has 96 divisors (see below), whose sum is σ = 3806056800. Its totient is φ = 436575744.

The previous prime is 1332423397. The next prime is 1332423437. The reversal of 1332423432 is 2343242331.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 1332423396 and 1332423405.

It is not an unprimeable number, because it can be changed into a prime (1332423437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108888 + ... + 120504.

It is an arithmetic number, because the mean of its divisors is an integer number (39646425).

Almost surely, 21332423432 is an apocalyptic number.

1332423432 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 1332423432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903028400).

1332423432 is an abundant number, since it is smaller than the sum of its proper divisors (2473633368).

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

1332423432 is a wasteful number, since it uses less digits than its factorization.

1332423432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11697 (or 11681 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 1332423432 is about 36502.3757035073. The cubic root of 1332423432 is about 1100.3919903233.

Adding to 1332423432 its reverse (2343242331), we get a palindrome (3675665763).

The spelling of 1332423432 in words is "one billion, three hundred thirty-two million, four hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 243 324 354 472 486 531 648 708 972 1062 1416 1593 1944 2124 3186 4248 4779 6372 9558 11617 12744 14337 19116 23234 28674 34851 38232 46468 57348 69702 92936 104553 114696 139404 209106 278808 313659 418212 627318 685403 836424 940977 1254636 1370806 1881954 2056209 2509272 2741612 2822931 3763908 4112418 5483224 5645862 6168627 7527816 8224836 11291724 12337254 16449672 18505881 22583448 24674508 37011762 49349016 55517643 74023524 111035286 148047048 166552929 222070572 333105858 444141144 666211716 1332423432