Search a number
-
+
1530347328 = 26322656853
BaseRepresentation
bin101101100110111…
…0011111101000000
310221122121200212200
41123031303331000
511113232103303
6411504353200
752631511006
oct13315637500
93848550780
101530347328
11715928664
12368615800
131b5089383
14107362a76
158e5413a3
hex5b373f40

1530347328 has 42 divisors (see below), whose sum is σ = 4386465954. Its totient is φ = 510115584.

The previous prime is 1530347317. The next prime is 1530347347. The reversal of 1530347328 is 8237430351.

1530347328 is a `hidden beast` number, since 1 + 530 + 34 + 73 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 933424704 + 596922624 = 30552^2 + 24432^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1530347292 and 1530347301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1327851 + ... + 1329002.

Almost surely, 21530347328 is an apocalyptic number.

1530347328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1530347328 is an abundant number, since it is smaller than the sum of its proper divisors (2856118626).

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

1530347328 is a wasteful number, since it uses less digits than its factorization.

1530347328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656871 (or 2656858 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1530347328 is about 39119.6539861998. The cubic root of 1530347328 is about 1152.3825407810.

Adding to 1530347328 its reverse (8237430351), we get a palindrome (9767777679).

The spelling of 1530347328 in words is "one billion, five hundred thirty million, three hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2656853 5313706 7970559 10627412 15941118 21254824 23911677 31882236 42509648 47823354 63764472 85019296 95646708 127528944 170038592 191293416 255057888 382586832 510115776 765173664 1530347328