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3341034004 = 22711172327743
BaseRepresentation
bin1100011100100100…
…0010001000010100
322121211202010001011
43013021002020110
523320301042004
61311305542004
7145536214630
oct30711021024
98554663034
103341034004
111464a21330
12792aa4904
1341324b6c9
14239a1bdc0
151484ab004
hexc7242214

3341034004 has 96 divisors (see below), whose sum is σ = 8054194176. Its totient is φ = 1171822080.

The previous prime is 3341033999. The next prime is 3341034013. The reversal of 3341034004 is 4004301433.

It is a super-2 number, since 2×33410340042 = 22325016431768544032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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, 106557 + ... + 134299.

It is an arithmetic number, because the mean of its divisors is an integer number (83897856).

Almost surely, 23341034004 is an apocalyptic number.

3341034004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3341034004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027097088).

3341034004 is an abundant number, since it is smaller than the sum of its proper divisors (4713160172).

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

3341034004 is a wasteful number, since it uses less digits than its factorization.

3341034004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27805 (or 27803 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3341034004 is about 57801.6782109309. The cubic root of 3341034004 is about 1494.9510248942.

Adding to 3341034004 its reverse (4004301433), we get a palindrome (7345335437).

The spelling of 3341034004 in words is "three billion, three hundred forty-one million, thirty-four thousand, four".

Divisors: 1 2 4 7 11 14 17 22 23 28 34 44 46 68 77 92 119 154 161 187 238 253 308 322 374 391 476 506 644 748 782 1012 1309 1564 1771 2618 2737 3542 4301 5236 5474 7084 8602 10948 17204 27743 30107 55486 60214 110972 120428 194201 305173 388402 471631 610346 638089 776804 943262 1220692 1276178 1886524 2136211 2552356 3301417 4272422 4466623 5187941 6602834 7018979 8544844 8933246 10375882 10847513 13205668 14037958 17866492 20751764 21695026 28075916 36315587 43390052 49132853 72631174 75932591 98265706 119322643 145262348 151865182 196531412 238645286 303730364 477290572 835258501 1670517002 3341034004