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3004112320 = 265112929429
BaseRepresentation
bin1011001100001111…
…0001110111000000
321202100202201101021
42303003301313000
522123023043240
61214032315224
7134305350646
oct26303616700
97670681337
103004112320
11130181a060
126ba0a2b14
1338b4c4271
14206d97196
15128b0754a
hexb30f1dc0

3004112320 has 112 divisors (see below), whose sum is σ = 8073237600. Its totient is φ = 1054699520.

The previous prime is 3004112281. The next prime is 3004112333. The reversal of 3004112320 is 232114003.

It is a happy number.

It is a super-3 number, since 3×30041123203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3004112294 and 3004112303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87366 + ... + 116794.

Almost surely, 23004112320 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 3004112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036618800).

3004112320 is an abundant number, since it is smaller than the sum of its proper divisors (5069125280).

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

3004112320 is a wasteful number, since it uses less digits than its factorization.

3004112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29486 (or 29476 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3004112320 is about 54809.7830683538. The cubic root of 3004112320 is about 1442.9082685074.

Adding to 3004112320 its reverse (232114003), we get a palindrome (3236226323).

The spelling of 3004112320 in words is "three billion, four million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 145 160 176 220 232 290 319 320 352 440 464 580 638 704 880 928 1160 1276 1595 1760 1856 2320 2552 3190 3520 4640 5104 6380 9280 10208 12760 20416 25520 29429 51040 58858 102080 117716 147145 235432 294290 323719 470864 588580 647438 853441 941728 1177160 1294876 1618595 1706882 1883456 2354320 2589752 3237190 3413764 4267205 4708640 5179504 6474380 6827528 8534410 9387851 9417280 10359008 12948760 13655056 17068820 18775702 20718016 25897520 27310112 34137640 37551404 46939255 51795040 54620224 68275280 75102808 93878510 103590080 136550560 150205616 187757020 273101120 300411232 375514040 600822464 751028080 1502056160 3004112320