Search a number
-
+
3348101640 = 2335132146219
BaseRepresentation
bin1100011110001111…
…1111101000001000
322122100001012000110
43013203333220020
523324103223030
61312121234320
7145653252162
oct30743775010
98570035013
103348101640
111468a09354
127953329a0
13414854640
1423a93b932
15148e051b0
hexc78ffa08

3348101640 has 64 divisors (see below), whose sum is σ = 10816948800. Its totient is φ = 824147712.

The previous prime is 3348101629. The next prime is 3348101641. The reversal of 3348101640 is 461018433.

It is a super-2 number, since 2×33481016402 = 22419569183541379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3348101598 and 3348101607.

It is not an unprimeable number, because it can be changed into a prime (3348101641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071550 + ... + 1074669.

It is an arithmetic number, because the mean of its divisors is an integer number (169014825).

Almost surely, 23348101640 is an apocalyptic number.

3348101640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3348101640 is an abundant number, since it is smaller than the sum of its proper divisors (7468847160).

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

3348101640 is a wasteful number, since it uses less digits than its factorization.

3348101640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146246 (or 2146242 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3348101640 is about 57862.7828573773. The cubic root of 3348101640 is about 1496.0044241436.

The spelling of 3348101640 in words is "three billion, three hundred forty-eight million, one hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2146219 4292438 6438657 8584876 10731095 12877314 17169752 21462190 25754628 27900847 32193285 42924380 51509256 55801694 64386570 83702541 85848760 111603388 128773140 139504235 167405082 223206776 257546280 279008470 334810164 418512705 558016940 669620328 837025410 1116033880 1674050820 3348101640