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1348648128 = 26322341403
BaseRepresentation
bin101000001100010…
…1011110011000000
310110222201102102200
41100120223303000
510230223220003
6341454113200
745264214512
oct12030536300
93428642380
101348648128
11632305333
123177ab800
1318653bc59
14cb185bb2
157d5ee6a3
hex5062bcc0

1348648128 has 42 divisors (see below), whose sum is σ = 3865658004. Its totient is φ = 449549184.

The previous prime is 1348648111. The next prime is 1348648129. The reversal of 1348648128 is 8218468431.

1348648128 is a `hidden beast` number, since 1 + 3 + 486 + 48 + 128 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1348648129) 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, 1170126 + ... + 1171277.

Almost surely, 21348648128 is an apocalyptic number.

1348648128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1348648128 is an abundant number, since it is smaller than the sum of its proper divisors (2517009876).

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

1348648128 is a wasteful number, since it uses less digits than its factorization.

1348648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341421 (or 2341408 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 1348648128 is about 36723.9448861366. The cubic root of 1348648128 is about 1104.8404123795.

The spelling of 1348648128 in words is "one billion, three hundred forty-eight million, six hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2341403 4682806 7024209 9365612 14048418 18731224 21072627 28096836 37462448 42145254 56193672 74924896 84290508 112387344 149849792 168581016 224774688 337162032 449549376 674324064 1348648128