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1352830608 = 24329394657
BaseRepresentation
bin101000010100010…
…1000111010010000
310111021120220201100
41100220220322100
510232311034413
6342123504400
745344604363
oct12050507220
93437526640
101352830608
11634701728
12319088100
131873748ac
14cb9540da
157db78a73
hex50a28e90

1352830608 has 30 divisors (see below), whose sum is σ = 3786047174. Its totient is φ = 450943488.

The previous prime is 1352830601. The next prime is 1352830621. The reversal of 1352830608 is 8060382531.

1352830608 is a `hidden beast` number, since 13 + 5 + 2 + 8 + 30 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1351885824 + 944784 = 36768^2 + 972^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1352830601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4697185 + ... + 4697472.

Almost surely, 21352830608 is an apocalyptic number.

1352830608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1352830608 is an abundant number, since it is smaller than the sum of its proper divisors (2433216566).

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

1352830608 is a wasteful number, since it uses less digits than its factorization.

1352830608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9394671 (or 9394662 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1352830608 is about 36780.8456672763. The cubic root of 1352830608 is about 1105.9813584206.

The spelling of 1352830608 in words is "one billion, three hundred fifty-two million, eight hundred thirty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9394657 18789314 28183971 37578628 56367942 75157256 84551913 112735884 150314512 169103826 225471768 338207652 450943536 676415304 1352830608