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3004132212 = 223523831619
BaseRepresentation
bin1011001100001111…
…0110101101110100
321202100210201200000
42303003312231310
522123024212322
61214032551300
7134305462644
oct26303665564
97670721600
103004132212
111301832aa4
126ba0b2530
1338b500333
14206da0524
15128b0d3ac
hexb30f6b74

3004132212 has 144 divisors (see below), whose sum is σ = 8321564160. Its totient is φ = 945714528.

The previous prime is 3004132211. The next prime is 3004132213. The reversal of 3004132212 is 2122314003.

3004132212 is a `hidden beast` number, since 30 + 0 + 413 + 221 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3004132211) and next prime (3004132213).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004132211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1854739 + ... + 1856357.

It is an arithmetic number, because the mean of its divisors is an integer number (57788640).

Almost surely, 23004132212 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 3004132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160782080).

3004132212 is an abundant number, since it is smaller than the sum of its proper divisors (5317431948).

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

3004132212 is a wasteful number, since it uses less digits than its factorization.

3004132212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3004132212 is about 54809.9645320082. The cubic root of 3004132212 is about 1442.9114532827.

Adding to 3004132212 its reverse (2122314003), we get a palindrome (5126446215).

The spelling of 3004132212 in words is "three billion, four million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 83 92 108 138 162 166 207 243 249 276 324 332 414 486 498 621 747 828 972 996 1242 1494 1619 1863 1909 2241 2484 2988 3238 3726 3818 4482 4857 5589 5727 6476 6723 7452 7636 8964 9714 11178 11454 13446 14571 17181 19428 20169 22356 22908 26892 29142 34362 37237 40338 43713 51543 58284 68724 74474 80676 87426 103086 111711 131139 134377 148948 154629 174852 206172 223422 262278 268754 309258 335133 393417 403131 446844 463887 524556 537508 618516 670266 786834 806262 927774 1005399 1209393 1340532 1573668 1612524 1855548 2010798 2418786 3016197 3090671 3628179 4021596 4837572 6032394 6181342 7256358 9048591 9272013 10884537 12064788 12362684 14512716 18097182 18544026 21769074 27816039 32653611 36194364 37088052 43538148 55632078 65307222 83448117 111264156 130614444 166896234 250344351 333792468 500688702 751033053 1001377404 1502066106 3004132212