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3013314440 = 2354373103233
BaseRepresentation
bin1011001110011011…
…1000011110001000
321210000002020022112
42303212320132020
522132402030230
61215001441452
7134446515203
oct26346703610
97700066275
103013314440
111306a34814
127011a0288
133903968c6
142082b093a
15129823d95
hexb39b8788

3013314440 has 128 divisors (see below), whose sum is σ = 7131421440. Its totient is φ = 1144958976.

The previous prime is 3013314407. The next prime is 3013314527. The reversal of 3013314440 is 444133103.

3013314440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12932564 + ... + 12932796.

It is an arithmetic number, because the mean of its divisors is an integer number (55714230).

Almost surely, 23013314440 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 3013314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565710720).

3013314440 is an abundant number, since it is smaller than the sum of its proper divisors (4118107000).

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

3013314440 is a wasteful number, since it uses less digits than its factorization.

3013314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3013314440 is about 54893.6648439508. The cubic root of 3013314440 is about 1444.3800599748.

Adding to 3013314440 its reverse (444133103), we get a palindrome (3457447543).

The spelling of 3013314440 in words is "three billion, thirteen million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 73 86 103 146 172 206 215 233 292 344 365 412 430 466 515 584 730 824 860 932 1030 1165 1460 1720 1864 2060 2330 2920 3139 4120 4429 4660 6278 7519 8858 9320 10019 12556 15038 15695 17009 17716 20038 22145 23999 25112 30076 31390 34018 35432 37595 40076 44290 47998 50095 60152 62780 68036 75190 80152 85045 88580 95996 100190 119995 125560 136072 150380 170090 177160 191992 200380 239990 300760 323317 340180 400760 479980 646634 680360 731387 959960 1031957 1293268 1462774 1616585 1751927 2063914 2586536 2925548 3233170 3503854 3656935 4127828 5159785 5851096 6466340 7007708 7313870 8255656 8759635 10319570 12932680 14015416 14627740 17519270 20639140 29255480 35038540 41278280 70077080 75332861 150665722 301331444 376664305 602662888 753328610 1506657220 3013314440