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2741470368 = 2537133153191
BaseRepresentation
bin1010001101100111…
…1000010010100000
321002001120010100120
42203121320102200
521103304022433
61132011120240
7124636053660
oct24331702240
97061503316
102741470368
11118754129a
12646143080
13348c76620
141c014a1a0
15110a277b3
hexa36784a0

2741470368 has 384 divisors, whose sum is σ = 9364045824. Its totient is φ = 682905600.

The previous prime is 2741470343. The next prime is 2741470373. The reversal of 2741470368 is 8630741472.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14353153 + ... + 14353343.

It is an arithmetic number, because the mean of its divisors is an integer number (24385536).

Almost surely, 22741470368 is an apocalyptic number.

2741470368 is a gapful number since it is divisible by the number (28) 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 2741470368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682022912).

2741470368 is an abundant number, since it is smaller than the sum of its proper divisors (6622575456).

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

2741470368 is a wasteful number, since it uses less digits than its factorization.

2741470368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 2741470368 is about 52359.0523978423. The cubic root of 2741470368 is about 1399.5696582083.

The spelling of 2741470368 in words is "two billion, seven hundred forty-one million, four hundred seventy thousand, three hundred sixty-eight".