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34768916 = 22713234153
BaseRepresentation
bin1000010010100…
…0100000010100
32102102102222122
42010220200110
532400101131
63241115112
7601350050
oct204504024
972372878
1034768916
1118698446
12b788a98
137284830
144890c60
1530bbd7b
hex2128814

34768916 has 48 divisors (see below), whose sum is σ = 78161664. Its totient is φ = 13153536.

The previous prime is 34768907. The next prime is 34768919. The reversal of 34768916 is 61986743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6296 + ... + 10448.

It is an arithmetic number, because the mean of its divisors is an integer number (1628368).

Almost surely, 234768916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34768916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39080832).

34768916 is an abundant number, since it is smaller than the sum of its proper divisors (43392748).

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

34768916 is a wasteful number, since it uses less digits than its factorization.

34768916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4198 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 34768916 is about 5896.5172771730. The cubic root of 34768916 is about 326.3851445605.

The spelling of 34768916 in words is "thirty-four million, seven hundred sixty-eight thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 4153 4186 8306 8372 16612 29071 53989 58142 95519 107978 116284 191038 215956 377923 382076 668633 755846 1241747 1337266 1511692 2483494 2674532 4966988 8692229 17384458 34768916