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34768712 = 2311675897
BaseRepresentation
bin1000010010100…
…0011101001000
32102102102201002
42010220131020
532400044322
63241114132
7601346336
oct204503510
972372632
1034768712
1118698280
12b788948
137284704
144890b56
1530bbc92
hex2128748

34768712 has 32 divisors (see below), whose sum is σ = 72191520. Its totient is φ = 15565440.

The previous prime is 34768693. The next prime is 34768717. The reversal of 34768712 is 21786743.

It is a super-3 number, since 3×347687123 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34768717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2948 + ... + 8844.

It is an arithmetic number, because the mean of its divisors is an integer number (2255985).

Almost surely, 234768712 is an apocalyptic number.

It is a pronic number, being equal to 5896×5897.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34768712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36095760).

34768712 is an abundant number, since it is smaller than the sum of its proper divisors (37422808).

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

34768712 is a wasteful number, since it uses less digits than its factorization.

34768712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5977 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 34768712 is about 5896.4999788010. The cubic root of 34768712 is about 326.3845062250.

The spelling of 34768712 in words is "thirty-four million, seven hundred sixty-eight thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 737 1474 2948 5896 5897 11794 23588 47176 64867 129734 259468 395099 518936 790198 1580396 3160792 4346089 8692178 17384356 34768712