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1355345928 = 233218824249
BaseRepresentation
bin101000011001000…
…1111000000001000
310111110022201002100
41100302033000020
510233432032203
6342253433400
745405151566
oct12062170010
93443281070
101355345928
1163606a502
12319a9b860
13187a45751
14cc00aa36
157dec3ea3
hex50c8f008

1355345928 has 24 divisors (see below), whose sum is σ = 3670728750. Its totient is φ = 451781952.

The previous prime is 1355345923. The next prime is 1355345933. The reversal of 1355345928 is 8295435531.

1355345928 is a `hidden beast` number, since 1 + 3 + 5 + 53 + 4 + 592 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1355345923) and next prime (1355345933).

It can be written as a sum of positive squares in only one way, i.e., 1039288644 + 316057284 = 32238^2 + 17778^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1355345921) 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, 9412053 + ... + 9412196.

Almost surely, 21355345928 is an apocalyptic number.

1355345928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1355345928 is an abundant number, since it is smaller than the sum of its proper divisors (2315382822).

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

1355345928 is a wasteful number, since it uses less digits than its factorization.

1355345928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18824261 (or 18824254 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 1355345928 is about 36815.0231291520. The cubic root of 1355345928 is about 1106.6663849776. Note that the first 3 decimals are identical.

The spelling of 1355345928 in words is "one billion, three hundred fifty-five million, three hundred forty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18824249 37648498 56472747 75296996 112945494 150593992 169418241 225890988 338836482 451781976 677672964 1355345928