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34053104 = 242128319
BaseRepresentation
bin1000000111100…
…1101111110000
32101002002002002
42001321233300
532204144404
63213513132
7562306121
oct201715760
971062062
1034053104
1118249668
12b4a27a8
137093a87
144746048
152ec9c1e
hex2079bf0

34053104 has 10 divisors (see below), whose sum is σ = 65977920. Its totient is φ = 17026544.

The previous prime is 34053101. The next prime is 34053109. The reversal of 34053104 is 40135043.

34053104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×340531042 = 2319227784069632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34053101) 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 as a sum of consecutive naturals, namely, 1064144 + ... + 1064175.

It is an arithmetic number, because the mean of its divisors is an integer number (6597792).

Almost surely, 234053104 is an apocalyptic number.

It is an amenable number.

34053104 is a deficient number, since it is larger than the sum of its proper divisors (31924816).

34053104 is a wasteful number, since it uses less digits than its factorization.

34053104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128327 (or 2128321 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 34053104 is about 5835.5037486065. The cubic root of 34053104 is about 324.1297554767.

Adding to 34053104 its reverse (40135043), we get a palindrome (74188147).

The spelling of 34053104 in words is "thirty-four million, fifty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 2128319 4256638 8513276 17026552 34053104