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34780004 = 2272612909
BaseRepresentation
bin1000010010101…
…1001101100100
32102110000012022
42010223031210
532400430004
63241242312
7601424300
oct204531544
972400168
1034780004
11186a5806
12b793398
1372898ac
144894d00
1530c02be
hex212b364

34780004 has 36 divisors (see below), whose sum is σ = 71987580. Its totient is φ = 14656320.

The previous prime is 34780001. The next prime is 34780021. The reversal of 34780004 is 40008743.

It can be written as a sum of positive squares in 2 ways, for example, as 14077504 + 20702500 = 3752^2 + 4550^2 .

It is not an unprimeable number, because it can be changed into a prime (34780001) 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 11 ways as a sum of consecutive naturals, for example, 10502 + ... + 13410.

It is an arithmetic number, because the mean of its divisors is an integer number (1999655).

Almost surely, 234780004 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 34780004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35993790).

34780004 is an abundant number, since it is smaller than the sum of its proper divisors (37207576).

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

34780004 is a wasteful number, since it uses less digits than its factorization.

34780004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 34780004 is about 5897.4574182439. The cubic root of 34780004 is about 326.4198362168.

Adding to 34780004 its reverse (40008743), we get a palindrome (74788747).

The spelling of 34780004 in words is "thirty-four million, seven hundred eighty thousand, four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 2909 2989 5818 5978 11636 11956 20363 40726 81452 142541 177449 285082 354898 570164 709796 1242143 2484286 4968572 8695001 17390002 34780004