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34058916 = 2232946081
BaseRepresentation
bin1000000111101…
…1001010100100
32101002101001100
42001323022210
532204341131
63214000100
7562332063
oct201731244
971071040
1034058916
1118252a71
12b4a6030
137096608
1447481da
152ecb7e6
hex207b2a4

34058916 has 18 divisors (see below), whose sum is σ = 86093462. Its totient is φ = 11352960.

The previous prime is 34058911. The next prime is 34058933. The reversal of 34058916 is 61985043.

It can be written as a sum of positive squares in only one way, i.e., 23561316 + 10497600 = 4854^2 + 3240^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 946081 = 34058916 / (3 + 4 + 0 + 5 + 8 + 9 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (34058911) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 473005 + ... + 473076.

Almost surely, 234058916 is an apocalyptic number.

34058916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34058916 is an abundant number, since it is smaller than the sum of its proper divisors (52034546).

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

34058916 is a wasteful number, since it uses less digits than its factorization.

34058916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946091 (or 946086 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 34058916 is about 5836.0017135021. The cubic root of 34058916 is about 324.1481946668.

It can be divided in two parts, 3405 and 8916, that added together give a palindrome (12321).

The spelling of 34058916 in words is "thirty-four million, fifty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 946081 1892162 2838243 3784324 5676486 8514729 11352972 17029458 34058916