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1083312432 = 243223931477
BaseRepresentation
bin100000010010010…
…0000100100110000
32210111102222021200
41000210200210300
54204311444212
6255255051200
735563001166
oct10044404460
92714388250
101083312432
11506557734
12262970b00
1314358a197
14a3c37236
156518b6dc
hex40920930

1083312432 has 60 divisors (see below), whose sum is σ = 3044552160. Its totient is φ = 359581824.

The previous prime is 1083312409. The next prime is 1083312457. The reversal of 1083312432 is 2342133801.

It is a junction number, because it is equal to n+sod(n) for n = 1083312396 and 1083312405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18678 + ... + 50154.

It is an arithmetic number, because the mean of its divisors is an integer number (50742536).

Almost surely, 21083312432 is an apocalyptic number.

1083312432 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 1083312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522276080).

1083312432 is an abundant number, since it is smaller than the sum of its proper divisors (1961239728).

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

1083312432 is a wasteful number, since it uses less digits than its factorization.

1083312432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31730 (or 31721 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1083312432 is about 32913.7119146413. The cubic root of 1083312432 is about 1027.0334195036.

The spelling of 1083312432 in words is "one billion, eighty-three million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 478 717 956 1434 1912 2151 2868 3824 4302 5736 8604 11472 17208 31477 34416 62954 94431 125908 188862 251816 283293 377724 503632 566586 755448 1133172 1510896 2266344 4532688 7523003 15046006 22569009 30092012 45138018 60184024 67707027 90276036 120368048 135414054 180552072 270828108 361104144 541656216 1083312432