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34671007242 = 2324344794583
BaseRepresentation
bin100000010010100011…
…011001011000001010
310022111021121122201100
4200102203121120022
51032001234212432
623532212002230
72335115461524
oct402243313012
9108437548640
1034671007242
11137819749a3
126877300376
133367014501
14196c94aa14
15d7dc4607c
hex8128d960a

34671007242 has 24 divisors (see below), whose sum is σ = 76867506144. Its totient is φ = 11288234664.

The previous prime is 34671007193. The next prime is 34671007291. The reversal of 34671007242 is 24270017643.

34671007242 is a `hidden beast` number, since 346 + 71 + 0 + 0 + 7 + 242 = 666.

It is an interprime number because it is at equal distance from previous prime (34671007193) and next prime (34671007291).

It is a junction number, because it is equal to n+sod(n) for n = 34671007197 and 34671007206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22396518 + ... + 22398065.

It is an arithmetic number, because the mean of its divisors is an integer number (3202812756).

Almost surely, 234671007242 is an apocalyptic number.

34671007242 is an abundant number, since it is smaller than the sum of its proper divisors (42196498902).

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

34671007242 is a wasteful number, since it uses less digits than its factorization.

34671007242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44794634 (or 44794631 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 34671007242 in words is "thirty-four billion, six hundred seventy-one million, seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 44794583 89589166 134383749 268767498 403151247 806302494 1926167069 3852334138 5778501207 11557002414 17335503621 34671007242