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34691052 = 22311377103
BaseRepresentation
bin1000010001010…
…1011111101100
32102021111011210
42010111133230
532340103202
63235314420
7600604044
oct204253754
972244153
1034691052
11186449a0
12b74ba10
137258266
144870724
1530a3c6c
hex21157ec

34691052 has 48 divisors (see below), whose sum is σ = 90703872. Its totient is φ = 10226880.

The previous prime is 34691023. The next prime is 34691057. The reversal of 34691052 is 25019643.

34691052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34691057) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1333 + ... + 8435.

It is an arithmetic number, because the mean of its divisors is an integer number (1889664).

Almost surely, 234691052 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 34691052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45351936).

34691052 is an abundant number, since it is smaller than the sum of its proper divisors (56012820).

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

34691052 is a wasteful number, since it uses less digits than its factorization.

34691052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 34691052 is about 5889.9110349818. The cubic root of 34691052 is about 326.1413190356.

The spelling of 34691052 in words is "thirty-four million, six hundred ninety-one thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 7103 14206 21309 28412 42618 78133 85236 156266 234399 262811 312532 468798 525622 788433 937596 1051244 1576866 2890921 3153732 5781842 8672763 11563684 17345526 34691052