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1355034888 = 233253355093
BaseRepresentation
bin101000011000100…
…0011000100001000
310111102201220102100
41100301003010020
510233342104023
6342243033400
745402415014
oct12061030410
93442656370
101355034888
11635977849
1231996b860
13187966cbc
14cbd69544
157de61c43
hex50c43108

1355034888 has 48 divisors (see below), whose sum is σ = 3739139820. Its totient is φ = 443154816.

The previous prime is 1355034883. The next prime is 1355034911. The reversal of 1355034888 is 8884305531.

1355034888 is a `hidden beast` number, since 13 + 550 + 3 + 4 + 8 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1333856484 + 21178404 = 36522^2 + 4602^2 .

It is a super-2 number, since 2×13550348882 = 3672239095394345088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1355034881) 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, 173731 + ... + 181362.

Almost surely, 21355034888 is an apocalyptic number.

1355034888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1355034888 is an abundant number, since it is smaller than the sum of its proper divisors (2384104932).

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

1355034888 is a wasteful number, since it uses less digits than its factorization.

1355034888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355158 (or 355151 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1355034888 is about 36810.7985243461. The cubic root of 1355034888 is about 1106.5817217586.

The spelling of 1355034888 in words is "one billion, three hundred fifty-five million, thirty-four thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 355093 710186 1065279 1420372 2130558 2840744 3195837 4261116 6391674 8522232 12783348 18819929 25566696 37639858 56459787 75279716 112919574 150559432 169379361 225839148 338758722 451678296 677517444 1355034888