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345135483 = 327111014931
BaseRepresentation
bin10100100100100…
…101100101111011
3220001102200212200
4110210211211323
51201323313413
654125241243
711360413620
oct2444454573
9801380780
10345135483
11167902440
1297703223
1356671ca4
1433ba2347
1520477573
hex1492597b

345135483 has 48 divisors (see below), whose sum is σ = 627823872. Its totient is φ = 177480000.

The previous prime is 345135463. The next prime is 345135491. The reversal of 345135483 is 384531543.

345135483 is a `hidden beast` number, since 3 + 45 + 135 + 483 = 666.

It is not a de Polignac number, because 345135483 - 26 = 345135419 is a prime.

It is a super-3 number, since 3×3451354833 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345135403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67528 + ... + 72458.

It is an arithmetic number, because the mean of its divisors is an integer number (13079664).

Almost surely, 2345135483 is an apocalyptic number.

345135483 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345135483 is a deficient number, since it is larger than the sum of its proper divisors (282688389).

345135483 is a wasteful number, since it uses less digits than its factorization.

345135483 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5053 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 345135483 is about 18577.8223427828. The cubic root of 345135483 is about 701.4497051014.

The spelling of 345135483 in words is "three hundred forty-five million, one hundred thirty-five thousand, four hundred eighty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 101 231 303 693 707 909 1111 2121 3333 4931 6363 7777 9999 14793 23331 34517 44379 54241 69993 103551 162723 310653 379687 488169 498031 1139061 1494093 3417183 3486217 4482279 5478341 10458651 16435023 31375953 38348387 49305069 115045161 345135483