Search a number
-
+
3012404064 = 25359975483
BaseRepresentation
bin1011001110001101…
…1010001101100000
321202221100222111220
42303203122031200
522132133412224
61214530135040
7134436004065
oct26343321540
97687328456
103012404064
11130647283a
12700a21480
13390138417
14208114c6c
151296e4279
hexb38da360

3012404064 has 96 divisors (see below), whose sum is σ = 8125971840. Its totient is φ = 976760832.

The previous prime is 3012404033. The next prime is 3012404071. The reversal of 3012404064 is 4604042103.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 546667 + ... + 552149.

It is an arithmetic number, because the mean of its divisors is an integer number (84645540).

Almost surely, 23012404064 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 3012404064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062985920).

3012404064 is an abundant number, since it is smaller than the sum of its proper divisors (5113567776).

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

3012404064 is a wasteful number, since it uses less digits than its factorization.

3012404064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3012404064 is about 54885.3720402805. The cubic root of 3012404064 is about 1444.2345876706.

Adding to 3012404064 its reverse (4604042103), we get a palindrome (7616446167).

The spelling of 3012404064 in words is "three billion, twelve million, four hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 97 118 177 194 236 291 354 388 472 582 708 776 944 1164 1416 1552 1888 2328 2832 3104 4656 5483 5664 5723 9312 10966 11446 16449 17169 21932 22892 32898 34338 43864 45784 65796 68676 87728 91568 131592 137352 175456 183136 263184 274704 323497 526368 531851 549408 646994 970491 1063702 1293988 1595553 1940982 2127404 2587976 3191106 3881964 4254808 5175952 6382212 7763928 8509616 10351904 12764424 15527856 17019232 25528848 31055712 31379209 51057696 62758418 94137627 125516836 188275254 251033672 376550508 502067344 753101016 1004134688 1506202032 3012404064