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1354830080 = 2851058461
BaseRepresentation
bin101000011000001…
…0001000100000000
310111102100111110212
41100300101010000
510233314030310
6342234413252
745400602632
oct12060210400
93442314425
101354830080
1163584798a
12319891228
131878c4a06
14cbd14a52
157de21205
hex50c11100

1354830080 has 36 divisors (see below), whose sum is σ = 3245244492. Its totient is φ = 541931520.

The previous prime is 1354830077. The next prime is 1354830089. The reversal of 1354830080 is 800384531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 698650624 + 656179456 = 26432^2 + 25616^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1354830089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 527951 + ... + 530510.

Almost surely, 21354830080 is an apocalyptic number.

1354830080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1354830080 is an abundant number, since it is smaller than the sum of its proper divisors (1890414412).

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

1354830080 is an equidigital number, since it uses as much as digits as its factorization.

1354830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058482 (or 1058468 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1354830080 is about 36808.0165181445. The cubic root of 1354830080 is about 1106.5259671773.

The spelling of 1354830080 in words is "one billion, three hundred fifty-four million, eight hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1058461 2116922 4233844 5292305 8467688 10584610 16935376 21169220 33870752 42338440 67741504 84676880 135483008 169353760 270966016 338707520 677415040 1354830080