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3004440705 = 325779157769
BaseRepresentation
bin1011001100010100…
…0010000010000001
321202101101101211200
42303011002002001
522123114100310
61214043331413
7134311216230
oct26305020201
97671341750
103004440705
111301a23852
126ba220b69
1338b5aa886
14207040b17
15128b6e9c0
hexb3142081

3004440705 has 96 divisors (see below), whose sum is σ = 6073267200. Its totient is φ = 1345683456.

The previous prime is 3004440701. The next prime is 3004440709. The reversal of 3004440705 is 5070444003.

It is an interprime number because it is at equal distance from previous prime (3004440701) and next prime (3004440709).

It is not a de Polignac number, because 3004440705 - 22 = 3004440701 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3004440701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3906561 + ... + 3907329.

It is an arithmetic number, because the mean of its divisors is an integer number (63263200).

Almost surely, 23004440705 is an apocalyptic number.

3004440705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3004440705 is an abundant number, since it is smaller than the sum of its proper divisors (3068826495).

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

3004440705 is a wasteful number, since it uses less digits than its factorization.

3004440705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3004440705 is about 54812.7786651981. The cubic root of 3004440705 is about 1442.9608422371.

Adding to 3004440705 its reverse (5070444003), we get a palindrome (8074884708).

The spelling of 3004440705 in words is "three billion, four million, four hundred forty thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 79 105 157 237 315 395 471 553 711 769 785 1099 1185 1413 1659 2307 2355 2765 3297 3555 3845 4977 5383 5495 6921 7065 8295 9891 11535 12403 16149 16485 24885 26915 34605 37209 48447 49455 60751 62015 80745 86821 111627 120733 182253 186045 242235 260463 303755 362199 425257 434105 546759 558135 603665 781389 845131 911265 1086597 1275771 1302315 1810995 2126285 2535393 2733795 3827313 3906945 4225655 5432985 6378855 7606179 9537907 12676965 19136565 28613721 38030895 47689535 66765349 85841163 143068605 200296047 333826745 429205815 600888141 1001480235 3004440705