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3072040416 = 253210666807
BaseRepresentation
bin1011011100011011…
…1001110111100000
321221002120211012200
42313012321313200
522242420243131
61224500253200
7136061625024
oct26706716740
97832524180
103072040416
1113370a5485
127189a1200
1339c5b89c3
14211dda384
1512ea742e6
hexb71b9de0

3072040416 has 36 divisors (see below), whose sum is σ = 8736115752. Its totient is φ = 1024013376.

The previous prime is 3072040409. The next prime is 3072040417. The reversal of 3072040416 is 6140402703.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3072040416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3072040417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5333116 + ... + 5333691.

It is an arithmetic number, because the mean of its divisors is an integer number (242669882).

Almost surely, 23072040416 is an apocalyptic number.

3072040416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3072040416 is an abundant number, since it is smaller than the sum of its proper divisors (5664075336).

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

3072040416 is a wasteful number, since it uses less digits than its factorization.

3072040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666823 (or 10666812 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3072040416 is about 55425.9904376999. The cubic root of 3072040416 is about 1453.7028493025.

The spelling of 3072040416 in words is "three billion, seventy-two million, forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10666807 21333614 32000421 42667228 64000842 85334456 96001263 128001684 170668912 192002526 256003368 341337824 384005052 512006736 768010104 1024013472 1536020208 3072040416