Search a number
-
+
3014606040 = 233567715281
BaseRepresentation
bin1011001110101111…
…0011110011011000
321210002111212001120
42303223303303120
522133214343130
61215045245240
7134463504615
oct26353636330
97702455046
103014606040
111307737156
12701703820
13390729774
1420852950c
151299cb910
hexb3af3cd8

3014606040 has 128 divisors (see below), whose sum is σ = 9309841920. Its totient is φ = 780595200.

The previous prime is 3014606033. The next prime is 3014606041. The reversal of 3014606040 is 406064103.

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 3014606040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3014606041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568200 + ... + 573480.

It is an arithmetic number, because the mean of its divisors is an integer number (72733140).

Almost surely, 23014606040 is an apocalyptic number.

3014606040 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 3014606040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654920960).

3014606040 is an abundant number, since it is smaller than the sum of its proper divisors (6295235880).

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

3014606040 is a wasteful number, since it uses less digits than its factorization.

3014606040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3014606040 is about 54905.4281469510. The cubic root of 3014606040 is about 1444.5863991892.

The spelling of 3014606040 in words is "three billion, fourteen million, six hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 71 120 134 142 201 213 268 284 335 355 402 426 536 568 670 710 804 852 1005 1065 1340 1420 1608 1704 2010 2130 2680 2840 4020 4260 4757 5281 8040 8520 9514 10562 14271 15843 19028 21124 23785 26405 28542 31686 38056 42248 47570 52810 57084 63372 71355 79215 95140 105620 114168 126744 142710 158430 190280 211240 285420 316860 353827 374951 570840 633720 707654 749902 1061481 1124853 1415308 1499804 1769135 1874755 2122962 2249706 2830616 2999608 3538270 3749510 4245924 4499412 5307405 5624265 7076540 7499020 8491848 8998824 10614810 11248530 14153080 14998040 21229620 22497060 25121717 42459240 44994120 50243434 75365151 100486868 125608585 150730302 200973736 251217170 301460604 376825755 502434340 602921208 753651510 1004868680 1507303020 3014606040