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342524133 = 3472937563
BaseRepresentation
bin10100011010101…
…000000011100101
3212212112000210000
4110122220003211
51200141233013
653553251513
711326256430
oct2432500345
9785460700
10342524133
111663894a6
1296863b99
1355c69503
14336c2817
152010d973
hex146a80e5

342524133 has 80 divisors (see below), whose sum is σ = 622385280. Its totient is φ = 183544704.

The previous prime is 342524129. The next prime is 342524137. The reversal of 342524133 is 331425243.

342524133 is a `hidden beast` number, since 3 + 4 + 2 + 524 + 133 = 666.

It is an interprime number because it is at equal distance from previous prime (342524129) and next prime (342524137).

It is not a de Polignac number, because 342524133 - 22 = 342524129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 342524097 and 342524106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342524137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 608110 + ... + 608672.

It is an arithmetic number, because the mean of its divisors is an integer number (7779816).

Almost surely, 2342524133 is an apocalyptic number.

It is an amenable number.

342524133 is a deficient number, since it is larger than the sum of its proper divisors (279861147).

342524133 is a wasteful number, since it uses less digits than its factorization.

342524133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 639 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 342524133 is about 18507.4075169917. The cubic root of 342524133 is about 699.6761311311.

Adding to 342524133 its reverse (331425243), we get a palindrome (673949376).

The spelling of 342524133 in words is "three hundred forty-two million, five hundred twenty-four thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 29 37 63 81 87 111 189 203 259 261 333 563 567 609 777 783 999 1073 1689 1827 2331 2349 2997 3219 3941 5067 5481 6993 7511 9657 11823 15201 16327 16443 20831 20979 22533 28971 35469 45603 48981 62493 67599 86913 106407 114289 145817 146943 187479 202797 319221 342867 437451 440829 562437 604099 608391 1028601 1312353 1322487 1687311 1812297 3085803 3937059 4228693 5436891 9257409 11811177 12686079 16310673 38058237 48932019 114174711 342524133