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34872049 = 17191071009
BaseRepresentation
bin1000010100000…
…1101011110001
32102121200110101
42011001223301
532411401144
63243232401
7602256532
oct205015361
972550411
1034872049
1118758983
12b818701
1372bc764
1448ba689
1530dc6d4
hex2141af1

34872049 has 16 divisors (see below), whose sum is σ = 39268800. Its totient is φ = 30772224.

The previous prime is 34872037. The next prime is 34872107. The reversal of 34872049 is 94027843.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34872049 - 221 = 32774897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34871999 and 34872017.

It is not an unprimeable number, because it can be changed into a prime (34872029) 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 15 ways as a sum of consecutive naturals, for example, 34057 + ... + 35065.

It is an arithmetic number, because the mean of its divisors is an integer number (2454300).

Almost surely, 234872049 is an apocalyptic number.

It is an amenable number.

34872049 is a deficient number, since it is larger than the sum of its proper divisors (4396751).

34872049 is a wasteful number, since it uses less digits than its factorization.

34872049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 34872049 is about 5905.2560486401. The cubic root of 34872049 is about 326.7075383864.

The spelling of 34872049 in words is "thirty-four million, eight hundred seventy-two thousand, forty-nine".

Divisors: 1 17 19 107 323 1009 1819 2033 17153 19171 34561 107963 325907 1835371 2051297 34872049