Search a number
-
+
1345531320 = 2332575091049
BaseRepresentation
bin101000000110011…
…0010110110111000
310110202212001222100
41100030302312320
510223424000240
6341303223400
745225553560
oct12014626670
93422761870
101345531320
11630576661
12316747b60
131859ba3a3
14ca9b3da0
157d1d5e30
hex50332db8

1345531320 has 192 divisors, whose sum is σ = 5012280000. Its totient is φ = 306653184.

The previous prime is 1345531309. The next prime is 1345531331. The reversal of 1345531320 is 231355431.

1345531320 is a `hidden beast` number, since 1 + 345 + 5 + 313 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1345531309) and next prime (1345531331).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282156 + ... + 1283204.

It is an arithmetic number, because the mean of its divisors is an integer number (26105625).

Almost surely, 21345531320 is an apocalyptic number.

1345531320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345531320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506140000).

1345531320 is an abundant number, since it is smaller than the sum of its proper divisors (3666748680).

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

1345531320 is a wasteful number, since it uses less digits than its factorization.

1345531320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1345531320 is about 36681.4847027761. The cubic root of 1345531320 is about 1103.9886380368.

Adding to 1345531320 its reverse (231355431), we get a palindrome (1576886751).

The spelling of 1345531320 in words is "one billion, three hundred forty-five million, five hundred thirty-one thousand, three hundred twenty".