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1353034530 = 23451670413
BaseRepresentation
bin101000010100101…
…1010101100100010
310111021222021110000
41100221122230202
510232334101110
6342132120430
745346414041
oct12051325442
93437867400
101353034530
11634830961
12319166116
13187416663
14cb9a8558
157dbb91c0
hex50a5ab22

1353034530 has 40 divisors (see below), whose sum is σ = 3638161692. Its totient is φ = 360808992.

The previous prime is 1353034523. The next prime is 1353034531. The reversal of 1353034530 is 354303531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1139670081 + 213364449 = 33759^2 + 14607^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1353034494 and 1353034503.

It is not an unprimeable number, because it can be changed into a prime (1353034531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 834397 + ... + 836016.

Almost surely, 21353034530 is an apocalyptic number.

1353034530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1353034530 is an abundant number, since it is smaller than the sum of its proper divisors (2285127162).

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

1353034530 is a wasteful number, since it uses less digits than its factorization.

1353034530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670432 (or 1670423 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 1353034530 is about 36783.6176850510. The cubic root of 1353034530 is about 1106.0369265009.

The spelling of 1353034530 in words is "one billion, three hundred fifty-three million, thirty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1670413 3340826 5011239 8352065 10022478 15033717 16704130 25056195 30067434 45101151 50112390 75168585 90202302 135303453 150337170 225505755 270606906 451011510 676517265 1353034530