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3481060352 = 21073111753
BaseRepresentation
bin1100111101111100…
…1100010000000000
322222121020012002012
43033133030100000
524112122412402
61333231112052
7152156345000
oct31737142000
98877205065
103481060352
111526a71190
12811972628
13436267a33
1425046c000
1515591a452
hexcf7cc400

3481060352 has 352 divisors, whose sum is σ = 9550483200. Its totient is φ = 1252392960.

The previous prime is 3481060273. The next prime is 3481060361. The reversal of 3481060352 is 2530601843.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 65680358 + ... + 65680410.

Almost surely, 23481060352 is an apocalyptic number.

3481060352 is a gapful number since it is divisible by the number (32) 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 3481060352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775241600).

3481060352 is an abundant number, since it is smaller than the sum of its proper divisors (6069422848).

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

3481060352 is a wasteful number, since it uses less digits than its factorization.

3481060352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 3481060352 is about 59000.5114554103. The cubic root of 3481060352 is about 1515.5508679436.

The spelling of 3481060352 in words is "three billion, four hundred eighty-one million, sixty thousand, three hundred fifty-two".