Search a number
-
+
1345252608 = 28327239349
BaseRepresentation
bin101000000101110…
…1110110100000000
310110202022220122200
41100023232310000
510223341040413
6341253233200
745223313160
oct12013566400
93422286580
101345252608
116303a6217
12316632800
1318592057b
14ca9405a0
157d17d573
hex502eed00

1345252608 has 216 divisors, whose sum is σ = 4464096000. Its totient is φ = 381652992.

The previous prime is 1345252607. The next prime is 1345252631. The reversal of 1345252608 is 8062525431.

1345252608 is a `hidden beast` number, since 1 + 3 + 45 + 2 + 5 + 2 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345252607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3854418 + ... + 3854766.

Almost surely, 21345252608 is an apocalyptic number.

1345252608 is a gapful number since it is divisible by the number (18) 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 1345252608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232048000).

1345252608 is an abundant number, since it is smaller than the sum of its proper divisors (3118843392).

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

1345252608 is a wasteful number, since it uses less digits than its factorization.

1345252608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1345252608 is about 36677.6854231561. The cubic root of 1345252608 is about 1103.9124064089.

The spelling of 1345252608 in words is "one billion, three hundred forty-five million, two hundred fifty-two thousand, six hundred eight".