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117035334 = 23313293569
BaseRepresentation
bin1101111100111…
…01000101000110
322011020000022000
412332131011012
5214430112314
615340250130
72620532613
oct676350506
9264200260
10117035334
1160077419
1233240946
131b3296a0
141178750a
15a41c209
hex6f9d146

117035334 has 64 divisors (see below), whose sum is σ = 281534400. Its totient is φ = 35824896.

The previous prime is 117035333. The next prime is 117035341. The reversal of 117035334 is 433530711.

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 = 117035298 and 117035307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117035333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205402 + ... + 205970.

It is an arithmetic number, because the mean of its divisors is an integer number (4398975).

Almost surely, 2117035334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117035334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140767200).

117035334 is an abundant number, since it is smaller than the sum of its proper divisors (164499066).

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

117035334 is a wasteful number, since it uses less digits than its factorization.

117035334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 117035334 is about 10818.2870178231. The cubic root of 117035334 is about 489.1465554927.

The spelling of 117035334 in words is "one hundred seventeen million, thirty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 293 351 569 586 702 879 1138 1707 1758 2637 3414 3809 5121 5274 7397 7618 7911 10242 11427 14794 15363 15822 22191 22854 30726 34281 44382 66573 68562 102843 133146 166717 199719 205686 333434 399438 500151 1000302 1500453 2167321 3000906 4334642 4501359 6501963 9002718 13003926 19505889 39011778 58517667 117035334