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4034961 = 33737577
BaseRepresentation
bin1111011001000110010001
321120222221000
433121012101
52013104321
6222252213
746203510
oct17310621
97528830
104034961
112306587
121427069
13ab3768
14770677
1554a826
hex3d9191

4034961 has 32 divisors (see below), whose sum is σ = 7028480. Its totient is φ = 2239488.

The previous prime is 4034957. The next prime is 4034969. The reversal of 4034961 is 1694304.

4034961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4034961 - 22 = 4034957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4034969) 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 31 ways as a sum of consecutive naturals, for example, 6705 + ... + 7281.

It is an arithmetic number, because the mean of its divisors is an integer number (219640).

Almost surely, 24034961 is an apocalyptic number.

It is an amenable number.

4034961 is a deficient number, since it is larger than the sum of its proper divisors (2993519).

4034961 is a wasteful number, since it uses less digits than its factorization.

4034961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4034961 is about 2008.7212350150. The cubic root of 4034961 is about 159.2012403841.

The spelling of 4034961 in words is "four million, thirty-four thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 577 777 999 1731 2331 4039 5193 6993 12117 15579 21349 36351 64047 109053 149443 192141 448329 576423 1344987 4034961