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1082329344 = 28331761151
BaseRepresentation
bin100000010000011…
…0000100100000000
32210102121000202000
41000200300210000
54204034014334
6255222024000
735551435065
oct10040604400
92712530660
101082329344
11505a46068
12262578000
13143304885
14a3a5cc6c
1565045299
hex40830900

1082329344 has 288 divisors, whose sum is σ = 3467278080. Its totient is φ = 331776000.

The previous prime is 1082329333. The next prime is 1082329363. The reversal of 1082329344 is 4439232801.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1082329299 and 1082329308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7167669 + ... + 7167819.

It is an arithmetic number, because the mean of its divisors is an integer number (12039160).

Almost surely, 21082329344 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 1082329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733639040).

1082329344 is an abundant number, since it is smaller than the sum of its proper divisors (2384948736).

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

1082329344 is a wasteful number, since it uses less digits than its factorization.

1082329344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1082329344 is about 32898.7742020884. The cubic root of 1082329344 is about 1026.7226535687.

The spelling of 1082329344 in words is "one billion, eighty-two million, three hundred twenty-nine thousand, three hundred forty-four".