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1103480352 = 253213536783
BaseRepresentation
bin100000111000101…
…1100011000100000
32211220101121110200
41001301130120200
54224442332402
6301255225200
736226266612
oct10161343040
92756347420
101103480352
11516982137
12269678200
131477cbb70
14a67a6db2
1566d2221c
hex41c5c620

1103480352 has 288 divisors, whose sum is σ = 3536664768. Its totient is φ = 324200448.

The previous prime is 1103480317. The next prime is 1103480377. The reversal of 1103480352 is 2530843011.

It is a happy number.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13294903 + ... + 13294985.

It is an arithmetic number, because the mean of its divisors is an integer number (12280086).

Almost surely, 21103480352 is an apocalyptic number.

1103480352 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 1103480352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768332384).

1103480352 is an abundant number, since it is smaller than the sum of its proper divisors (2433184416).

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

1103480352 is a wasteful number, since it uses less digits than its factorization.

1103480352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1103480352 is about 33218.6747477981. The cubic root of 1103480352 is about 1033.3676656878.

The spelling of 1103480352 in words is "one billion, one hundred three million, four hundred eighty thousand, three hundred fifty-two".