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3342713640 = 233577974993
BaseRepresentation
bin1100011100111101…
…1100001100101000
322121221220110001220
43013033130030220
523321213314030
61311405542040
7145556411550
oct30717341450
98557813056
103342713640
111465969262
12793574920
134136b9086
14239d38160
151486dda10
hexc73dc328

3342713640 has 128 divisors (see below), whose sum is σ = 11477410560. Its totient is φ = 762937344.

The previous prime is 3342713629. The next prime is 3342713651. The reversal of 3342713640 is 463172433.

3342713640 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 (3342713629) and next prime (3342713651).

It is a super-2 number, since 2×33427136402 = 22347468958084099200, which contains 22 as substring.

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, 666984 + ... + 671976.

It is an arithmetic number, because the mean of its divisors is an integer number (89667270).

Almost surely, 23342713640 is an apocalyptic number.

3342713640 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 3342713640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738705280).

3342713640 is an abundant number, since it is smaller than the sum of its proper divisors (8134696920).

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

3342713640 is a wasteful number, since it uses less digits than its factorization.

3342713640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 3342713640 is about 57816.2056866412. The cubic root of 3342713640 is about 1495.2015015325.

The spelling of 3342713640 in words is "three billion, three hundred forty-two million, seven hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 797 840 1594 2391 3188 3985 4782 4993 5579 6376 7970 9564 9986 11158 11955 14979 15940 16737 19128 19972 22316 23910 24965 27895 29958 31880 33474 34951 39944 44632 47820 49930 55790 59916 66948 69902 74895 83685 95640 99860 104853 111580 119832 133896 139804 149790 167370 174755 199720 209706 223160 279608 299580 334740 349510 419412 524265 599160 669480 699020 838824 1048530 1398040 2097060 3979421 4194120 7958842 11938263 15917684 19897105 23876526 27855947 31835368 39794210 47753052 55711894 59691315 79588420 83567841 95506104 111423788 119382630 139279735 159176840 167135682 222847576 238765260 278559470 334271364 417839205 477530520 557118940 668542728 835678410 1114237880 1671356820 3342713640