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3480848832 = 26341442181
BaseRepresentation
bin1100111101111001…
…1000100111000000
322222120211102221010
43033132120213000
524112044130312
61333222400520
7152154504216
oct31736304700
98876742833
103480848832
11152693727a
12811890140
134361c2686
14250414cb6
151558c793c
hexcf7989c0

3480848832 has 56 divisors (see below), whose sum is σ = 9434395152. Its totient is φ = 1131980800.

The previous prime is 3480848831. The next prime is 3480848867. The reversal of 3480848832 is 2388480843.

It is a happy number.

3480848832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480848831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213219 + ... + 228962.

It is an arithmetic number, because the mean of its divisors is an integer number (168471342).

Almost surely, 23480848832 is an apocalyptic number.

3480848832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3480848832 is an abundant number, since it is smaller than the sum of its proper divisors (5953546320).

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

3480848832 is a wasteful number, since it uses less digits than its factorization.

3480848832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442237 (or 442227 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 3480848832 is about 58998.7189013456. The cubic root of 3480848832 is about 1515.5201708015.

The spelling of 3480848832 in words is "three billion, four hundred eighty million, eight hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 442181 884362 1326543 1768724 2653086 3537448 5306172 7074896 10612344 14149792 18129421 21224688 28299584 36258842 42449376 54388263 72517684 84898752 108776526 145035368 217553052 290070736 435106104 580141472 870212208 1160282944 1740424416 3480848832