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34654700742 = 23197910913527
BaseRepresentation
bin100000010001100101…
…001100010011000110
310022110010221012101220
4200101211030103012
51031433100410432
623530430301210
72334530044644
oct402145142306
9108403835356
1034654700742
1113773747652
126871957806
1333638252ac
14196a704194
15d7c5c472c
hex81194c4c6

34654700742 has 64 divisors (see below), whose sum is σ = 73969459200. Its totient is φ = 10792098720.

The previous prime is 34654700669. The next prime is 34654700777. The reversal of 34654700742 is 24700745643.

It is a junction number, because it is equal to n+sod(n) for n = 34654700694 and 34654700703.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9823783 + ... + 9827309.

It is an arithmetic number, because the mean of its divisors is an integer number (1155772800).

Almost surely, 234654700742 is an apocalyptic number.

34654700742 is an abundant number, since it is smaller than the sum of its proper divisors (39314758458).

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

34654700742 is a wasteful number, since it uses less digits than its factorization.

34654700742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721.

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 34654700742 in words is "thirty-four billion, six hundred fifty-four million, seven hundred thousand, seven hundred forty-two".

Divisors: 1 2 3 6 19 38 57 79 114 158 237 474 1091 1501 2182 3002 3273 3527 4503 6546 7054 9006 10581 20729 21162 41458 62187 67013 86189 124374 134026 172378 201039 258567 278633 402078 517134 557266 835899 1637591 1671798 3275182 3847957 4912773 5294027 7695914 9825546 10588054 11543871 15882081 23087742 31764162 73111183 146222366 219333549 303988603 438667098 607977206 911965809 1823931618 5775783457 11551566914 17327350371 34654700742