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3013304640 = 26355953201
BaseRepresentation
bin1011001110011011…
…0110000101000000
321210000001201212120
42303212312011000
522132401222030
61215001324240
7134446444503
oct26346660500
97700051776
103013304640
111306a28415
12701196680
133903922c8
142082ab13a
15129821010
hexb39b6140

3013304640 has 112 divisors (see below), whose sum is σ = 9729581760. Its totient is φ = 789913600.

The previous prime is 3013304627. The next prime is 3013304719. The reversal of 3013304640 is 464033103.

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 3013304640.

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, 30040 + ... + 83240.

Almost surely, 23013304640 is an apocalyptic number.

3013304640 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 3013304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864790880).

3013304640 is an abundant number, since it is smaller than the sum of its proper divisors (6716277120).

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

3013304640 is a wasteful number, since it uses less digits than its factorization.

3013304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53280 (or 53270 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3013304640 is about 54893.5755803901. The cubic root of 3013304640 is about 1444.3784941530.

Adding to 3013304640 its reverse (464033103), we get a palindrome (3477337743).

The spelling of 3013304640 in words is "three billion, thirteen million, three hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 160 177 192 236 240 295 320 354 472 480 590 708 885 944 960 1180 1416 1770 1888 2360 2832 3540 3776 4720 5664 7080 9440 11328 14160 18880 28320 53201 56640 106402 159603 212804 266005 319206 425608 532010 638412 798015 851216 1064020 1276824 1596030 1702432 2128040 2553648 3138859 3192060 3404864 4256080 5107296 6277718 6384120 8512160 9416577 10214592 12555436 12768240 15694295 17024320 18833154 25110872 25536480 31388590 37666308 47082885 50221744 51072960 62777180 75332616 94165770 100443488 125554360 150665232 188331540 200886976 251108720 301330464 376663080 502217440 602660928 753326160 1004434880 1506652320 3013304640