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3363073740 = 22325132949559
BaseRepresentation
bin1100100001110100…
…0110111011001100
322200101012211212200
43020131012323030
523341421324430
61313414201500
7146224440465
oct31035067314
98611184780
103363073740
111476405094
1279a353290
13417997380
1423c917d6c
1514a3b1460
hexc8746ecc

3363073740 has 144 divisors (see below), whose sum is σ = 11365099200. Its totient is φ = 799271424.

The previous prime is 3363073723. The next prime is 3363073757. The reversal of 3363073740 is 473703633.

3363073740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3363073723) and next prime (3363073757).

It is a super-2 number, since 2×33630737402 = 22620529961355175200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3363073695 and 3363073704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43081 + ... + 92639.

It is an arithmetic number, because the mean of its divisors is an integer number (78924300).

Almost surely, 23363073740 is an apocalyptic number.

3363073740 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 3363073740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682549600).

3363073740 is an abundant number, since it is smaller than the sum of its proper divisors (8002025460).

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

3363073740 is a wasteful number, since it uses less digits than its factorization.

3363073740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49616 (or 49611 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 36.

The square root of 3363073740 is about 57992.0144502672. The cubic root of 3363073740 is about 1498.2310613908.

The spelling of 3363073740 in words is "three billion, three hundred sixty-three million, seventy-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6786 7540 11310 13572 16965 22620 33930 49559 67860 99118 148677 198236 247795 297354 446031 495590 594708 644267 743385 892062 991180 1288534 1437211 1486770 1784124 1932801 2230155 2577068 2874422 2973540 3221335 3865602 4311633 4460310 5748844 5798403 6442670 7186055 7731204 8623266 8920620 9664005 11596806 12885340 12934899 14372110 17246532 18683743 19328010 21558165 23193612 25869798 28744220 28992015 37367486 38656020 43116330 51739596 56051229 57984030 64674495 74734972 86232660 93418715 112102458 115968060 129348990 168153687 186837430 224204916 258697980 280256145 336307374 373674860 560512290 672614748 840768435 1121024580 1681536870 3363073740