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3145646340 = 2234517114221
BaseRepresentation
bin1011101101111110…
…1100000100000100
322010020002101120000
42323133230010010
522420241140330
61240050041300
7140644360404
oct27337540404
98106071500
103145646340
1113746a9721
12739579230
133b191a8c5
1421baba804
15136263560
hexbb7ec104

3145646340 has 120 divisors (see below), whose sum is σ = 10448571672. Its totient is φ = 789488640.

The previous prime is 3145646293. The next prime is 3145646341. The reversal of 3145646340 is 436465413.

3145646340 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 646 + 3 + 4 + 0 = 666.

3145646340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 679332096 + 2466314244 = 26064^2 + 49662^2 .

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 = 3145646295 and 3145646304.

It is not an unprimeable number, because it can be changed into a prime (3145646341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29571 + ... + 84650.

Almost surely, 23145646340 is an apocalyptic number.

3145646340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3145646340 is an abundant number, since it is smaller than the sum of its proper divisors (7302925332).

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

3145646340 is a wasteful number, since it uses less digits than its factorization.

3145646340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114259 (or 114248 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3145646340 is about 56086.0619048975. The cubic root of 3145646340 is about 1465.2215516795.

The spelling of 3145646340 in words is "three billion, one hundred forty-five million, six hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 6885 9180 13770 27540 114221 228442 342663 456884 571105 685326 1027989 1142210 1370652 1713315 1941757 2055978 2284420 3083967 3426630 3883514 4111956 5139945 5825271 6167934 6853260 7767028 9251901 9708785 10279890 11650542 12335868 15419835 17475813 18503802 19417570 20559780 23301084 29126355 30839670 34951626 37007604 38835140 46259505 52427439 58252710 61679340 69903252 87379065 92519010 104854878 116505420 157282317 174758130 185038020 209709756 262137195 314564634 349516260 524274390 629129268 786411585 1048548780 1572823170 3145646340