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153321345 = 3254183101
BaseRepresentation
bin10010010001101…
…11111110000001
3101200111112100100
421020313332001
5303222240340
623114113013
73541132002
oct1110677601
9350445310
10153321345
1179600661
124341b769
13259c28b8
14165111a9
15d6d8830
hex9237f81

153321345 has 24 divisors (see below), whose sum is σ = 272242152. Its totient is φ = 79776000.

The previous prime is 153321331. The next prime is 153321349. The reversal of 153321345 is 543123351.

153321345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 848241 + 152473104 = 921^2 + 12348^2 .

It is not a de Polignac number, because 153321345 - 217 = 153190273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153321349) 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, 39706 + ... + 43395.

It is an arithmetic number, because the mean of its divisors is an integer number (11343423).

Almost surely, 2153321345 is an apocalyptic number.

153321345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153321345 is a deficient number, since it is larger than the sum of its proper divisors (118920807).

153321345 is a wasteful number, since it uses less digits than its factorization.

153321345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83153 (or 83150 counting only the distinct ones).

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

The square root of 153321345 is about 12382.2996652480. The cubic root of 153321345 is about 535.2223084034. Note that the first 3 decimals are identical.

Adding to 153321345 its reverse (543123351), we get a palindrome (696444696).

The spelling of 153321345 in words is "one hundred fifty-three million, three hundred twenty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 83101 249303 415505 747909 1246515 3407141 3739545 10221423 17035705 30664269 51107115 153321345