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3004352120 = 235711975439
BaseRepresentation
bin1011001100010010…
…1100011001111000
321202101012220022202
42303010230121320
522123103231440
61214041405332
7134310400040
oct26304543170
97671186282
103004352120
111301973240
126ba199848
1338b579463
1420701a720
15128b53615
hexb312c678

3004352120 has 64 divisors (see below), whose sum is σ = 8427801600. Its totient is φ = 936420480.

The previous prime is 3004352119. The next prime is 3004352123. The reversal of 3004352120 is 212534003.

It is a happy number.

It is a super-3 number, since 3×30043521203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3004352092 and 3004352101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004352123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484640 + ... + 490799.

It is an arithmetic number, because the mean of its divisors is an integer number (131684400).

Almost surely, 23004352120 is an apocalyptic number.

It is an amenable number.

3004352120 is an abundant number, since it is smaller than the sum of its proper divisors (5423449480).

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

3004352120 is a wasteful number, since it uses less digits than its factorization.

3004352120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975468 (or 975464 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3004352120 is about 54811.9705903738. The cubic root of 3004352120 is about 1442.9466603472.

Adding to 3004352120 its reverse (212534003), we get a palindrome (3216886123).

The spelling of 3004352120 in words is "three billion, four million, three hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 975439 1950878 3901756 4877195 6828073 7803512 9754390 10729829 13656146 19508780 21459658 27312292 34140365 39017560 42919316 53649145 54624584 68280730 75108803 85838632 107298290 136561460 150217606 214596580 273122920 300435212 375544015 429193160 600870424 751088030 1502176060 3004352120