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3004352505 = 335711289019
BaseRepresentation
bin1011001100010010…
…1100011111111001
321202101012220212000
42303010230133321
522123103240010
61214041411213
7134310401130
oct26304543771
97671186760
103004352505
111301973560
126ba199b09
1338b57969b
1420701a917
15128b537c0
hexb312c7f9

3004352505 has 64 divisors (see below), whose sum is σ = 6659020800. Its totient is φ = 1248557760.

The previous prime is 3004352479. The next prime is 3004352521. The reversal of 3004352505 is 5052534003.

3004352505 is a `hidden beast` number, since 300 + 4 + 352 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 3004352505 - 221 = 3002255353 is a prime.

It is a super-2 number, since 2×30043525052 = 18052267948599550050, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134115 + ... + 154904.

It is an arithmetic number, because the mean of its divisors is an integer number (104047200).

Almost surely, 23004352505 is an apocalyptic number.

3004352505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3004352505 is an abundant number, since it is smaller than the sum of its proper divisors (3654668295).

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

3004352505 is a wasteful number, since it uses less digits than its factorization.

3004352505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289051 (or 289045 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 3004352505 is about 54811.9741023802. The cubic root of 3004352505 is about 1442.9467219838.

Adding to 3004352505 its reverse (5052534003), we get a palindrome (8056886508).

The spelling of 3004352505 in words is "three billion, four million, three hundred fifty-two thousand, five hundred five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1155 1485 2079 3465 10395 289019 867057 1445095 2023133 2601171 3179209 4335285 6069399 7803513 9537627 10115665 13005855 15896045 18208197 22254463 28612881 30346995 39017565 47688135 54624591 66763389 85838643 91040985 111272315 143064405 200290167 273122955 333816945 429193215 600870501 1001450835 3004352505