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34769628 = 2233437487
BaseRepresentation
bin1000010010100…
…0101011011100
32102102110222000
42010220223130
532400112003
63241122300
7601352115
oct204505334
972373860
1034769628
1118698a33
12b789390
137284c5a
14489120c
1530bc1a3
hex2128adc

34769628 has 48 divisors (see below), whose sum is σ = 92252160. Its totient is φ = 11318832.

The previous prime is 34769617. The next prime is 34769633. The reversal of 34769628 is 82696743.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 901 + ... + 8387.

It is an arithmetic number, because the mean of its divisors is an integer number (1921920).

Almost surely, 234769628 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 34769628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46126080).

34769628 is an abundant number, since it is smaller than the sum of its proper divisors (57482532).

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

34769628 is a wasteful number, since it uses less digits than its factorization.

34769628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7543 (or 7535 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 34769628 is about 5896.5776514856. The cubic root of 34769628 is about 326.3873724570.

The spelling of 34769628 in words is "thirty-four million, seven hundred sixty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 7487 14974 22461 29948 44922 67383 89844 134766 202149 269532 321941 404298 643882 808596 965823 1287764 1931646 2897469 3863292 5794938 8692407 11589876 17384814 34769628