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3673738140 = 2235377322669
BaseRepresentation
bin1101101011111000…
…1100101110011100
3100111000210020022120
43122332030232130
530010434110030
61404312542540
7160016154552
oct33276145634
910430706276
103673738140
111615802926
128663b1a50
1346715a267
1426bca5bd2
151677ca010
hexdaf8cb9c

3673738140 has 96 divisors (see below), whose sum is σ = 10709670720. Its totient is φ = 940087296.

The previous prime is 3673738087. The next prime is 3673738147. The reversal of 3673738140 is 418373763.

It is a junction number, because it is equal to n+sod(n) for n = 3673738092 and 3673738101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673738147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150726 + ... + 173394.

It is an arithmetic number, because the mean of its divisors is an integer number (111559070).

Almost surely, 23673738140 is an apocalyptic number.

3673738140 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 3673738140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354835360).

3673738140 is an abundant number, since it is smaller than the sum of its proper divisors (7035932580).

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

3673738140 is a wasteful number, since it uses less digits than its factorization.

3673738140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22791 (or 22789 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 3673738140 is about 60611.3697254896. The cubic root of 3673738140 is about 1543.0123390571.

The spelling of 3673738140 in words is "three billion, six hundred seventy-three million, seven hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 73 74 111 146 148 185 219 222 292 365 370 438 444 555 730 740 876 1095 1110 1460 2190 2220 2701 4380 5402 8103 10804 13505 16206 22669 27010 32412 40515 45338 54020 68007 81030 90676 113345 136014 162060 226690 272028 340035 453380 680070 838753 1360140 1654837 1677506 2516259 3309674 3355012 4193765 4964511 5032518 6619348 8274185 8387530 9929022 10065036 12581295 16548370 16775060 19858044 24822555 25162590 33096740 49645110 50325180 61228969 99290220 122457938 183686907 244915876 306144845 367373814 612289690 734747628 918434535 1224579380 1836869070 3673738140