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3004043392 = 2773531291
BaseRepresentation
bin1011001100001110…
…0001000010000000
321202100122012211101
42303003201002000
522123013342032
61214031024144
7134304643000
oct26303410200
97670565741
103004043392
111301782299
126ba06b054
1338b49ba8c
14206d7a000
15128ae1de7
hexb30e1080

3004043392 has 128 divisors (see below), whose sum is σ = 7116336000. Its totient is φ = 1262177280.

The previous prime is 3004043389. The next prime is 3004043411. The reversal of 3004043392 is 2933404003.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3004043392.

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, 2326267 + ... + 2327557.

It is an arithmetic number, because the mean of its divisors is an integer number (55596375).

Almost surely, 23004043392 is an apocalyptic number.

3004043392 is a gapful number since it is divisible by the number (32) 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 3004043392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558168000).

3004043392 is an abundant number, since it is smaller than the sum of its proper divisors (4112292608).

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

3004043392 is an equidigital number, since it uses as much as digits as its factorization.

3004043392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 3004043392 is about 54809.1542718915. The cubic root of 3004043392 is about 1442.8972327969.

Adding to 3004043392 its reverse (2933404003), we get a palindrome (5937447395).

The spelling of 3004043392 in words is "three billion, four million, forty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 343 371 392 424 448 686 742 784 848 896 1291 1372 1484 1568 1696 2582 2597 2744 2968 3136 3392 5164 5194 5488 5936 6272 6784 9037 10328 10388 10976 11872 18074 18179 20656 20776 21952 23744 36148 36358 41312 41552 43904 47488 63259 68423 72296 72716 82624 83104 126518 136846 144592 145432 165248 166208 253036 273692 289184 290864 332416 442813 478961 506072 547384 578368 581728 885626 957922 1012144 1094768 1156736 1163456 1771252 1915844 2024288 2189536 2326912 3352727 3542504 3831688 4048576 4379072 6705454 7085008 7663376 8097152 8758144 13410908 14170016 15326752 23469089 26821816 28340032 30653504 46938178 53643632 56680064 61307008 93876356 107287264 187752712 214574528 375505424 429149056 751010848 1502021696 3004043392