Search a number
-
+
3004361160 = 233531778979
BaseRepresentation
bin1011001100010010…
…1110100111001000
321202101020100201120
42303010232213020
522123104024120
61214041515240
7134310435303
oct26304564710
97671210646
103004361160
11130197a009
126ba1a2b20
1338b5805c8
1420701db3a
15128b56140
hexb312e9c8

3004361160 has 64 divisors (see below), whose sum is σ = 9041630400. Its totient is φ = 798625536.

The previous prime is 3004361153. The next prime is 3004361179. The reversal of 3004361160 is 611634003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3004361160.

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, 1450 + ... + 77529.

It is an arithmetic number, because the mean of its divisors is an integer number (141275475).

Almost surely, 23004361160 is an apocalyptic number.

3004361160 is a gapful number since it is divisible by the number (30) 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 3004361160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520815200).

3004361160 is an abundant number, since it is smaller than the sum of its proper divisors (6037269240).

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

3004361160 is a wasteful number, since it uses less digits than its factorization.

3004361160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79310 (or 79306 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3004361160 is about 54812.0530540501. The cubic root of 3004361160 is about 1442.9481076059.

Adding to 3004361160 its reverse (611634003), we get a palindrome (3615995163).

The spelling of 3004361160 in words is "three billion, four million, three hundred sixty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 317 634 951 1268 1585 1902 2536 3170 3804 4755 6340 7608 9510 12680 19020 38040 78979 157958 236937 315916 394895 473874 631832 789790 947748 1184685 1579580 1895496 2369370 3159160 4738740 9477480 25036343 50072686 75109029 100145372 125181715 150218058 200290744 250363430 300436116 375545145 500726860 600872232 751090290 1001453720 1502180580 3004361160