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1347427728 = 243227133449
BaseRepresentation
bin101000001010000…
…0001110110010000
310110220102102100200
41100110001312100
510224420141403
6341412015200
745250642503
oct12024016620
93426372320
101347427728
11631651439
12317301500
1318620261a
14cad4913a
157d45cca3
hex50501d90

1347427728 has 60 divisors (see below), whose sum is σ = 3773409900. Its totient is φ = 448846848.

The previous prime is 1347427703. The next prime is 1347427729. The reversal of 1347427728 is 8277247431.

It can be written as a sum of positive squares in 2 ways, for example, as 644753664 + 702674064 = 25392^2 + 26508^2 .

It is a super-2 number, since 2×13474277282 = 3631122964366483968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1347427729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388948 + ... + 392396.

It is an arithmetic number, because the mean of its divisors is an integer number (62890165).

Almost surely, 21347427728 is an apocalyptic number.

1347427728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1347427728 is an abundant number, since it is smaller than the sum of its proper divisors (2425982172).

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

1347427728 is a wasteful number, since it uses less digits than its factorization.

1347427728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6176 (or 6167 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 1347427728 is about 36707.3252634948. The cubic root of 1347427728 is about 1104.5070528409.

The spelling of 1347427728 in words is "one billion, three hundred forty-seven million, four hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2713 3449 5426 6898 8139 10347 10852 13796 16278 20694 21704 24417 27592 31041 32556 41388 43408 48834 55184 62082 65112 82776 97668 124164 130224 165552 195336 248328 390672 496656 9357137 18714274 28071411 37428548 56142822 74857096 84214233 112285644 149714192 168428466 224571288 336856932 449142576 673713864 1347427728